Categorical structures and their applications [[electronic resource] ] : proceedings of the North-West European Category Seminar, Berlin, Germany, 28-29 March 2003 / / edited by W. Gähler and G. Preuss |
Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2004 |
Descrizione fisica | 1 online resource (356 p.) |
Disciplina | 512/.62 |
Altri autori (Persone) |
GählerWerner
PreussGerhard <1940-> HerrlichHorst |
Soggetto topico |
Categories (Mathematics)
Topological spaces Metric spaces Topology |
Soggetto genere / forma | Electronic books. |
ISBN |
1-281-89846-5
9786611898465 981-270-241-5 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Contents; Preface; Introduction; Opening Ceremony of the North-West European Category Seminar 2003; On Boole's Booleanness B. Banaschewski; Homeomorphically Closed Nearness Spaces H. L. Bentley and John W. Carlson; The Tensor Product of Orthomodular Posets Reinhard Borger; On a Weak Form of the Blumberg Property Wing-Sum Cheung, Yu-Ting Lin, George E. Strecker and Shiojenn Tseng; Saturated Collections of Metrics E. Colebunders, R. Lowen and M. Sioen; A Uniform Space Proof of a Metrisation Theorem P. J. Collins
Classification of Closure Operators for Categories of Topological Spaces Dikran Dikranjan, Walter Tholen and Stephen WatsonTopological Structures in Logics Werner Gahler; The Structure of Affine Algebraic Sets Eraldo Giuli; A Twisted Triple Category of Track Commutative Cubes K. A. Hardie and K. H. Kamps; Productivity of Coreflective Classes in Some Topological Structures; A Characterization of Co-Retracts of Functional Structures; Maximal (Sequentially) Compact Topologies Hans-Peter A. Kiinzi and Dominic van der Zypen; Supertopologies as Starting Points for Generalized Continuity Structures Introducing Lagois CorrespondencesOn (B,B)-Projectivity Helga Oltmanns, Valdis Laan, Ulrich Knauer; On Coalgebras which are Algebras; A Hyperspace Completion for Semiuniform Convergence Spaces and Related Hyperspace Structures; Convex Effect Algebras and Partially Ordered Positively Convex Modules; Fibrewise Sobriety; Two Applications of Elementary Submodels to Partitions of Topological Spaces; L-Valued Categories: Generalities and Examples Related to Algebra and Topology; Horst Herrlich's Publications; Bernhard Banaschewski: Two Poems |
Record Nr. | UNINA-9910451349603321 |
Singapore ; ; Hackensack, NJ, : World Scientific, c2004 | ||
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Lo trovi qui: Univ. Federico II | ||
|
Categorical structures and their applications [[electronic resource] ] : proceedings of the North-West European Category Seminar, Berlin, Germany, 28-29 March 2003 / / edited by W. Gähler and G. Preuss |
Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2004 |
Descrizione fisica | 1 online resource (356 p.) |
Disciplina | 512/.62 |
Altri autori (Persone) |
GählerWerner
PreussGerhard <1940-> HerrlichHorst |
Soggetto topico |
Categories (Mathematics)
Topological spaces Metric spaces Topology |
ISBN |
1-281-89846-5
9786611898465 981-270-241-5 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Contents; Preface; Introduction; Opening Ceremony of the North-West European Category Seminar 2003; On Boole's Booleanness B. Banaschewski; Homeomorphically Closed Nearness Spaces H. L. Bentley and John W. Carlson; The Tensor Product of Orthomodular Posets Reinhard Borger; On a Weak Form of the Blumberg Property Wing-Sum Cheung, Yu-Ting Lin, George E. Strecker and Shiojenn Tseng; Saturated Collections of Metrics E. Colebunders, R. Lowen and M. Sioen; A Uniform Space Proof of a Metrisation Theorem P. J. Collins
Classification of Closure Operators for Categories of Topological Spaces Dikran Dikranjan, Walter Tholen and Stephen WatsonTopological Structures in Logics Werner Gahler; The Structure of Affine Algebraic Sets Eraldo Giuli; A Twisted Triple Category of Track Commutative Cubes K. A. Hardie and K. H. Kamps; Productivity of Coreflective Classes in Some Topological Structures; A Characterization of Co-Retracts of Functional Structures; Maximal (Sequentially) Compact Topologies Hans-Peter A. Kiinzi and Dominic van der Zypen; Supertopologies as Starting Points for Generalized Continuity Structures Introducing Lagois CorrespondencesOn (B,B)-Projectivity Helga Oltmanns, Valdis Laan, Ulrich Knauer; On Coalgebras which are Algebras; A Hyperspace Completion for Semiuniform Convergence Spaces and Related Hyperspace Structures; Convex Effect Algebras and Partially Ordered Positively Convex Modules; Fibrewise Sobriety; Two Applications of Elementary Submodels to Partitions of Topological Spaces; L-Valued Categories: Generalities and Examples Related to Algebra and Topology; Horst Herrlich's Publications; Bernhard Banaschewski: Two Poems |
Record Nr. | UNINA-9910783914203321 |
Singapore ; ; Hackensack, NJ, : World Scientific, c2004 | ||
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Lo trovi qui: Univ. Federico II | ||
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Complicial sets characterising the simplical nerves of strict [omega]-categories / / Dominic Verity |
Autore | Verity Dominic <1966-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
Descrizione fisica | 1 online resource (184 p.) |
Disciplina | 512/.62 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Categories (Mathematics)
Algebraic topology |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-0511-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Preface""; ""Historical Background""; ""Relationships to Other Work""; ""Overview and Structure""; ""Chapter 1. Simplicial Operators and Simplicial Sets""; ""1. Simplicial Operators""; ""2. The Algebraist's Î? and 2-Categories""; ""3. The Algebraist's Î? and Monoidal Categories""; ""4. Simplicial Sets""; ""5. Semi- Simplicial Sets""; ""6. Analysing Products of Simplicial Sets-the Theory of Shuffles""; ""Chapter 2. A Little Categorical Background""; ""1. Reflective Full Subcategories""; ""2. LFP-Categories and LE-Theories""
""Chapter 3. Double Categories, 2-Categories and n-Categories""""1. Categories in the Small""; ""2. Double Categories""; ""3. 2-Categories and Double Categories with Connections""; ""4. n-Categories and Ï?-Categories""; ""Chapter 4. An Introduction to the Decalage Construction""; ""1. Nerves and Decalage""; ""2. Comonad Transformations and Simplicial Reconstruction""; ""Chapter 5. Stratifications and Filterings of Simplicial Sets""; ""1. Stratified Simplicial Sets""; ""2. Superstructures and Filtered Semi- Simplicial Sets""; ""Chapter 6. Pre-Complicial Sets "" ""1. Introducing Pre- Complicial Sets""""2. Tensor Products of Pre- Complicial Sets""; ""3. Pre- Tensors and Preservation of t- Extensions""; ""4. Some Other Preservation Properties""; ""5. A Monoidal Biclosed Structure on Pre- Complicial sets""; ""6. Superstructures of Pre-Complicial Sets""; ""Chapter 7. Complicial Sets""; ""1. Introducing Complicial Sets""; ""2. Glueing Squares and Filling Lemmas""; ""3. Tensor Products and Complicial Sets""; ""4. Superstructures of Complicial Sets""; ""Chapter 8. The Path Category Construction""; ""1. The Complicial Category of Prisms"" ""2. Path Categories and Superstructures""""3. A Complicial Double Category with Connections""; ""Chapter 9. Complicial Decalage Constructions""; ""1. A Decalage Construction on Complicial Sets""; ""2. A Path Construction on Complicially Enriched Categories""; ""3. A Decalage Construction on Complicially Enriched Categories""; ""4. Semi-Simplicial Reconstruction""; ""Chapter 10. Street's Ï?-Categorical Nerve Construction""; ""1. Parity Complexes""; ""2. Collapsers and Stratified Parity Complexes""; ""3. Ï?-Categorical Nerve Constructions"" ""4. Products of Parity Complexes and the Complicial Tensor""""5. An Inductive Proof of the Street-Roberts Conjecture""; ""Bibliography"" |
Record Nr. | UNINA-9910480509003321 |
Verity Dominic <1966->
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Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
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Complicial sets characterising the simplical nerves of strict [omega]-categories / / Dominic Verity |
Autore | Verity Dominic <1966-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
Descrizione fisica | 1 online resource (184 p.) |
Disciplina | 512/.62 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Categories (Mathematics)
Algebraic topology |
ISBN | 1-4704-0511-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Preface""; ""Historical Background""; ""Relationships to Other Work""; ""Overview and Structure""; ""Chapter 1. Simplicial Operators and Simplicial Sets""; ""1. Simplicial Operators""; ""2. The Algebraist's Î? and 2-Categories""; ""3. The Algebraist's Î? and Monoidal Categories""; ""4. Simplicial Sets""; ""5. Semi- Simplicial Sets""; ""6. Analysing Products of Simplicial Sets-the Theory of Shuffles""; ""Chapter 2. A Little Categorical Background""; ""1. Reflective Full Subcategories""; ""2. LFP-Categories and LE-Theories""
""Chapter 3. Double Categories, 2-Categories and n-Categories""""1. Categories in the Small""; ""2. Double Categories""; ""3. 2-Categories and Double Categories with Connections""; ""4. n-Categories and Ï?-Categories""; ""Chapter 4. An Introduction to the Decalage Construction""; ""1. Nerves and Decalage""; ""2. Comonad Transformations and Simplicial Reconstruction""; ""Chapter 5. Stratifications and Filterings of Simplicial Sets""; ""1. Stratified Simplicial Sets""; ""2. Superstructures and Filtered Semi- Simplicial Sets""; ""Chapter 6. Pre-Complicial Sets "" ""1. Introducing Pre- Complicial Sets""""2. Tensor Products of Pre- Complicial Sets""; ""3. Pre- Tensors and Preservation of t- Extensions""; ""4. Some Other Preservation Properties""; ""5. A Monoidal Biclosed Structure on Pre- Complicial sets""; ""6. Superstructures of Pre-Complicial Sets""; ""Chapter 7. Complicial Sets""; ""1. Introducing Complicial Sets""; ""2. Glueing Squares and Filling Lemmas""; ""3. Tensor Products and Complicial Sets""; ""4. Superstructures of Complicial Sets""; ""Chapter 8. The Path Category Construction""; ""1. The Complicial Category of Prisms"" ""2. Path Categories and Superstructures""""3. A Complicial Double Category with Connections""; ""Chapter 9. Complicial Decalage Constructions""; ""1. A Decalage Construction on Complicial Sets""; ""2. A Path Construction on Complicially Enriched Categories""; ""3. A Decalage Construction on Complicially Enriched Categories""; ""4. Semi-Simplicial Reconstruction""; ""Chapter 10. Street's Ï?-Categorical Nerve Construction""; ""1. Parity Complexes""; ""2. Collapsers and Stratified Parity Complexes""; ""3. Ï?-Categorical Nerve Constructions"" ""4. Products of Parity Complexes and the Complicial Tensor""""5. An Inductive Proof of the Street-Roberts Conjecture""; ""Bibliography"" |
Record Nr. | UNINA-9910788852403321 |
Verity Dominic <1966->
![]() |
||
Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Complicial sets characterising the simplical nerves of strict [omega]-categories / / Dominic Verity |
Autore | Verity Dominic <1966-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
Descrizione fisica | 1 online resource (184 p.) |
Disciplina | 512/.62 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Categories (Mathematics)
Algebraic topology |
ISBN | 1-4704-0511-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Preface""; ""Historical Background""; ""Relationships to Other Work""; ""Overview and Structure""; ""Chapter 1. Simplicial Operators and Simplicial Sets""; ""1. Simplicial Operators""; ""2. The Algebraist's Î? and 2-Categories""; ""3. The Algebraist's Î? and Monoidal Categories""; ""4. Simplicial Sets""; ""5. Semi- Simplicial Sets""; ""6. Analysing Products of Simplicial Sets-the Theory of Shuffles""; ""Chapter 2. A Little Categorical Background""; ""1. Reflective Full Subcategories""; ""2. LFP-Categories and LE-Theories""
""Chapter 3. Double Categories, 2-Categories and n-Categories""""1. Categories in the Small""; ""2. Double Categories""; ""3. 2-Categories and Double Categories with Connections""; ""4. n-Categories and Ï?-Categories""; ""Chapter 4. An Introduction to the Decalage Construction""; ""1. Nerves and Decalage""; ""2. Comonad Transformations and Simplicial Reconstruction""; ""Chapter 5. Stratifications and Filterings of Simplicial Sets""; ""1. Stratified Simplicial Sets""; ""2. Superstructures and Filtered Semi- Simplicial Sets""; ""Chapter 6. Pre-Complicial Sets "" ""1. Introducing Pre- Complicial Sets""""2. Tensor Products of Pre- Complicial Sets""; ""3. Pre- Tensors and Preservation of t- Extensions""; ""4. Some Other Preservation Properties""; ""5. A Monoidal Biclosed Structure on Pre- Complicial sets""; ""6. Superstructures of Pre-Complicial Sets""; ""Chapter 7. Complicial Sets""; ""1. Introducing Complicial Sets""; ""2. Glueing Squares and Filling Lemmas""; ""3. Tensor Products and Complicial Sets""; ""4. Superstructures of Complicial Sets""; ""Chapter 8. The Path Category Construction""; ""1. The Complicial Category of Prisms"" ""2. Path Categories and Superstructures""""3. A Complicial Double Category with Connections""; ""Chapter 9. Complicial Decalage Constructions""; ""1. A Decalage Construction on Complicial Sets""; ""2. A Path Construction on Complicially Enriched Categories""; ""3. A Decalage Construction on Complicially Enriched Categories""; ""4. Semi-Simplicial Reconstruction""; ""Chapter 10. Street's Ï?-Categorical Nerve Construction""; ""1. Parity Complexes""; ""2. Collapsers and Stratified Parity Complexes""; ""3. Ï?-Categorical Nerve Constructions"" ""4. Products of Parity Complexes and the Complicial Tensor""""5. An Inductive Proof of the Street-Roberts Conjecture""; ""Bibliography"" |
Record Nr. | UNINA-9910829176103321 |
Verity Dominic <1966->
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Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
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Lo trovi qui: Univ. Federico II | ||
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A functorial model theory : newer applications to algebraic topology, descriptive sets, and computing categories topos / / Cyrus F. Nourani, PhD |
Autore | Nourani Cyrus F. |
Edizione | [First edition.] |
Pubbl/distr/stampa | Toronto : , : Apple Academic Press, Inc. |
Descrizione fisica | 1 online resource (296 p.) |
Disciplina | 512/.62 |
Soggetto topico |
Infinitary languages
Algebraic topology Descriptive set theory Categories (Mathematics) |
ISBN |
0-429-18873-0
1-4822-3150-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front Cover; About the Author; Contents; Preface; Chapter 1: Introduction; Chapter 2: Categorical Preliminaries; Chapter 3: Infinite Language Categories; Chapter 4: Functorial Fragment Model Theory; Chapter 5: Algebraic Theories, Categories, and Models; Chapter 6: Generic Functorial Models and Topos; Chapter 7: Models, Sheaves, and Topos; Chapter 8: Functors on Fields; Chapter 9: Filters and Ultraproducts on Projective Sets; Chapter 10: A Glimpse on Algebraic Set Theory; Bibliography |
Record Nr. | UNINA-9910789123403321 |
Nourani Cyrus F.
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Toronto : , : Apple Academic Press, Inc. | ||
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Lo trovi qui: Univ. Federico II | ||
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Higher topos theory [[electronic resource] /] / Jacob Lurie |
Autore | Lurie Jacob <1977-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2009 |
Descrizione fisica | 1 online resource (944 p.) |
Disciplina | 512/.62 |
Collana | Annals of mathematics studies |
Soggetto topico |
Toposes
Categories (Mathematics) |
Soggetto genere / forma | Electronic books. |
ISBN |
1-282-64495-5
9786612644955 1-4008-3055-9 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. An Overview Of Higher Category Theory -- Chapter Two. Fibrations Of Simplicial Sets -- Chapter Three. The ∞-Category Of ∞-Categories -- Chapter Four. Limits And Colimits -- Chapter Five. Presentable And Accessible ∞-Categories -- Chapter Six. ∞-Topoi -- Chapter Seven. Higher Topos Theory In Topology -- Appendix -- Bibliography -- General Index -- Index Of Notation |
Record Nr. | UNINA-9910459453503321 |
Lurie Jacob <1977->
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Princeton, N.J., : Princeton University Press, 2009 | ||
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Lo trovi qui: Univ. Federico II | ||
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Higher topos theory [[electronic resource] /] / Jacob Lurie |
Autore | Lurie Jacob <1977-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2009 |
Descrizione fisica | 1 online resource (944 p.) |
Disciplina | 512/.62 |
Collana | Annals of mathematics studies |
Soggetto topico |
Toposes
Categories (Mathematics) |
Soggetto non controllato |
Adjoint functors
Associative property Base change map Base change CW complex Canonical map Cartesian product Category of sets Category theory Coequalizer Cofinality Coherence theorem Cohomology Cokernel Commutative property Continuous function (set theory) Contractible space Coproduct Corollary Derived category Diagonal functor Diagram (category theory) Dimension theory (algebra) Dimension theory Dimension Enriched category Epimorphism Equivalence class Equivalence relation Existence theorem Existential quantification Factorization system Functor category Functor Fundamental group Grothendieck topology Grothendieck universe Group homomorphism Groupoid Heyting algebra Higher Topos Theory Higher category theory Homotopy category Homotopy colimit Homotopy group Homotopy I0 Inclusion map Inductive dimension Initial and terminal objects Inverse limit Isomorphism class Kan extension Limit (category theory) Localization of a category Maximal element Metric space Model category Monoidal category Monoidal functor Monomorphism Monotonic function Morphism Natural transformation Nisnevich topology Noetherian topological space Noetherian O-minimal theory Open set Power series Presheaf (category theory) Prime number Pullback (category theory) Pushout (category theory) Quillen adjunction Quotient by an equivalence relation Regular cardinal Retract Right inverse Sheaf (mathematics) Sheaf cohomology Simplicial category Simplicial set Special case Subcategory Subset Surjective function Tensor product Theorem Topological space Topology Topos Total order Transitive relation Universal property Upper and lower bounds Weak equivalence (homotopy theory) Yoneda lemma Zariski topology Zorn's lemma |
ISBN |
1-282-64495-5
9786612644955 1-4008-3055-9 |
Classificazione |
SI 830
SK 320 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. An Overview Of Higher Category Theory -- Chapter Two. Fibrations Of Simplicial Sets -- Chapter Three. The ∞-Category Of ∞-Categories -- Chapter Four. Limits And Colimits -- Chapter Five. Presentable And Accessible ∞-Categories -- Chapter Six. ∞-Topoi -- Chapter Seven. Higher Topos Theory In Topology -- Appendix -- Bibliography -- General Index -- Index Of Notation |
Record Nr. | UNINA-9910784939903321 |
Lurie Jacob <1977->
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Princeton, N.J., : Princeton University Press, 2009 | ||
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Lo trovi qui: Univ. Federico II | ||
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An introduction to category theory / / Harold Simmons [[electronic resource]] |
Autore | Simmons Harold |
Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2011 |
Descrizione fisica | 1 online resource (ix, 226 pages) : digital, PDF file(s) |
Disciplina | 512/.62 |
Soggetto topico | Categories (Mathematics) |
ISBN |
1-107-22867-0
1-139-23509-5 1-283-38259-8 9786613382597 1-139-18968-9 0-511-86322-5 1-139-19097-0 1-139-18837-2 1-139-18375-3 1-139-18607-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Machine generated contents note: Preface; 1. Categories; 2. Basic gadgetry; 3. Functors and natural transformations; 4. Limits and colimits in general; 5. Adjunctions; 6. Posets and monoid sets; Bibliography; Index. |
Record Nr. | UNINA-9910458045603321 |
Simmons Harold
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Cambridge : , : Cambridge University Press, , 2011 | ||
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Lo trovi qui: Univ. Federico II | ||
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An introduction to category theory / / Harold Simmons [[electronic resource]] |
Autore | Simmons Harold |
Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2011 |
Descrizione fisica | 1 online resource (ix, 226 pages) : digital, PDF file(s) |
Disciplina | 512/.62 |
Soggetto topico | Categories (Mathematics) |
ISBN |
1-107-22867-0
1-139-23509-5 1-283-38259-8 9786613382597 1-139-18968-9 0-511-86322-5 1-139-19097-0 1-139-18837-2 1-139-18375-3 1-139-18607-8 |
Classificazione | MAT018000 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Machine generated contents note: Preface; 1. Categories; 2. Basic gadgetry; 3. Functors and natural transformations; 4. Limits and colimits in general; 5. Adjunctions; 6. Posets and monoid sets; Bibliography; Index. |
Record Nr. | UNINA-9910781947703321 |
Simmons Harold
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Cambridge : , : Cambridge University Press, , 2011 | ||
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Lo trovi qui: Univ. Federico II | ||
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