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A First Course in Category Theory / Ana Agore
A First Course in Category Theory / Ana Agore
Autore Agore, Ana
Pubbl/distr/stampa Cham, : Springer, 2023
Descrizione fisica xiv, 284 p. : ill. ; 24 cm
Soggetto non controllato Adjoint functors
Category Theory
Colimit
Equivalence of categories
Freyd's adjoint functor theorem
Functor
Limit
Representable functor
Special adjoint functor theorem
Yoneda's lemma
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNICAMPANIA-VAN0278685
Agore, Ana  
Cham, : Springer, 2023
Materiale a stampa
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A First Course in Category Theory / Ana Agore
A First Course in Category Theory / Ana Agore
Autore Agore, Ana
Pubbl/distr/stampa Cham, : Springer, 2023
Descrizione fisica xiv, 284 p. : ill. ; 24 cm
Soggetto topico 18-XX - Category theory; homological algebra [MSC 2020]
Soggetto non controllato Adjoint functors
Category Theory
Colimit
Equivalence of categories
Freyd's adjoint functor theorem
Functor
Limit
Representable functor
Special adjoint functor theorem
Yoneda's lemma
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNICAMPANIA-VAN00278685
Agore, Ana  
Cham, : Springer, 2023
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
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Algebraic Topology and Algebraic K-Theory (AM-113), Volume 113 : Proceedings of a Symposium in Honor of John C. Moore. (AM-113) / / William Browder
Algebraic Topology and Algebraic K-Theory (AM-113), Volume 113 : Proceedings of a Symposium in Honor of John C. Moore. (AM-113) / / William Browder
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (577 pages) : illustrations
Disciplina 514/.2
Collana Annals of Mathematics Studies
Soggetto topico Algebraic topology
K-theory
Soggetto non controllato Abelian group
Adams spectral sequence
Adjoint functors
Adjunction (field theory)
Algebraic K-theory
Algebraic closure
Algebraic geometry
Algebraic group
Algebraic number field
Algebraic space
Algebraic topology
Algebraically closed field
Associative algebra
Boundary (topology)
CW complex
Classification theorem
Closure (mathematics)
Coalgebra
Cofibration
Cohomology
Commutative diagram
Commutative property
Coproduct
Deformation theory
Degenerate bilinear form
Diagram (category theory)
Differentiable manifold
Dimension (vector space)
Division algebra
Eilenberg–Moore spectral sequence
Epimorphism
Exterior (topology)
Formal power series
Free Lie algebra
Free algebra
Freudenthal suspension theorem
Function (mathematics)
Function space
Functor
G-module
Galois extension
Global dimension
Group cohomology
Group homomorphism
H-space
Hilbert's Theorem 90
Homology (mathematics)
Homomorphism
Homotopy category
Homotopy group
Homotopy
Hopf algebra
Hopf invariant
Hurewicz theorem
Inclusion map
Inequality (mathematics)
Integral domain
Isometry
Isomorphism class
K-theory
Lie algebra
Lie group
Limit (category theory)
Loop space
Mathematician
Mathematics
Noetherian ring
Order topology
P-adic number
Polynomial ring
Polynomial
Prime number
Principal bundle
Principal ideal domain
Projective module
Projective plane
Pullback (category theory)
Pushout (category theory)
Ring of integers
Series (mathematics)
Sheaf (mathematics)
Simplicial category
Simplicial complex
Simplicial set
Special case
Spectral sequence
Square (algebra)
Stable homotopy theory
Steenrod algebra
Superalgebra
Theorem
Topological K-theory
Topological space
Topology
Triviality (mathematics)
Uniqueness theorem
Universal enveloping algebra
Vector bundle
Weak equivalence (homotopy theory)
William Browder (mathematician)
ISBN 1-4008-8211-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Preface -- I. Exponents in Homotopy Theory / Cohen, F. R. / Moore, J. C. / Neisendorfer, J. A. -- II. The Exponent of a Moore Space / Neisendorfer, Joseph A. -- III. The Space of Maps of Moore Spaces Into Spheres / Campbell, H. E. A. / Cohen, F. R. / Peterson, F. P. / Selick, P. S. -- IV. The Adams Spectral Sequence of Ω2S3 and Brown Gitlet Spectra / Brown, Edgar H. / Cohen, Ralph L. -- V. Homotopy Groups of Some Mapping Telescopes / Davis, Donald M. / Mahowald, Mark -- VI. Mapping Telescopes and K*-Localization / Davis, Donald M. / Mahowald, Mark / Miller, Haynes -- VII. The Geometric Realization of The Chromatic Resolution / Ravenel, Douglas C. -- VIII. Equivalences Between Homotopy Theories of Diagrams / Dwyer, W. G. / Kan, D. M. -- IX. The Role of The Steenrod Algebra in The Mod 2 Cohomology of a Finite H-Space / Lin, James P. -- X. Maps Between Classifying Spaces / Zabrodsky, A. -- XI. Generic Algebras and CW Complexes / Anick, David J. -- XII. Deformation Theory and The Little Constructions of Cartan and Moore / Stasheff, Jim -- XIII. Free (ℤ/2)3 - Actions on Finite Complexes / Carlsson, Gunnar -- XIV. Equivariant Constructions of Nonequivariant Spectra / May, J. P. -- XV. A Decomposition of The Space of Generalized Morse Functions / Cohen, Ralph L. -- XVI. Algebriac K-Theory of Spaces, Concordance, and Stable Homotopy Theory / Waldhausen, Friedhelm -- XVII. The Map BSG → A(*) → QS° / Bokstedt, Marcel / Waldhausen, Friedhelm -- XVIII. Vector Bundles, Projective Modules and The K-Theory of Spheres / Swan, Richard G. -- XIX. Limits Of Infinitesimal Group Cohomology / Friedlander, Eric M. / Parshall, Brian J. -- XX. Algebraic K-Theory of Group Scheme Actions / Thomason, R. W. -- Backmatter
Record Nr. UNINA-9910154749203321
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Etale Homotopy of Simplicial Schemes. (AM-104), Volume 104 / / Eric M. Friedlander
Etale Homotopy of Simplicial Schemes. (AM-104), Volume 104 / / Eric M. Friedlander
Autore Friedlander Eric M.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (193 pages)
Disciplina 514/.24
Collana Annals of Mathematics Studies
Soggetto topico Homotopy theory
Schemes (Algebraic geometry)
Homology theory
Soggetto non controllato Abelian group
Adams operation
Adjoint functors
Alexander Grothendieck
Algebraic K-theory
Algebraic closure
Algebraic geometry
Algebraic group
Algebraic number theory
Algebraic structure
Algebraic topology (object)
Algebraic topology
Algebraic variety
Algebraically closed field
Automorphism
Base change
Cap product
Cartesian product
Closed immersion
Codimension
Coefficient
Cohomology
Comparison theorem
Complex number
Complex vector bundle
Connected component (graph theory)
Connected space
Coprime integers
Corollary
Covering space
Derived functor
Dimension (vector space)
Disjoint union
Embedding
Existence theorem
Ext functor
Exterior algebra
Fiber bundle
Fibration
Finite field
Finite group
Free group
Functor
Fundamental group
Galois cohomology
Galois extension
Geometry
Grothendieck topology
Homogeneous space
Homological algebra
Homology (mathematics)
Homomorphism
Homotopy category
Homotopy group
Homotopy
Integral domain
Intersection (set theory)
Inverse limit
Inverse system
K-theory
Leray spectral sequence
Lie group
Local ring
Mapping cylinder
Natural number
Natural transformation
Neighbourhood (mathematics)
Newton polynomial
Noetherian ring
Open set
Opposite category
Pointed set
Presheaf (category theory)
Reductive group
Regular local ring
Relative homology
Residue field
Riemann surface
Root of unity
Serre spectral sequence
Shape theory (mathematics)
Sheaf (mathematics)
Sheaf cohomology
Sheaf of spectra
Simplex
Simplicial set
Special case
Spectral sequence
Surjective function
Theorem
Topological K-theory
Topological space
Topology
Tubular neighborhood
Vector bundle
Weak equivalence (homotopy theory)
Weil conjectures
Weyl group
Witt vector
Zariski topology
ISBN 1-4008-8149-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- INTRODUCTION -- 1. ETALE SITE OF A SIMPLICIAL SCHEME -- 2. SHEAVES AND COHOMOLOGY -- 3. COHOMOLOGY VIA HYPERCOVERINGS -- 4. ETALE TOPOLOGICAL TYPE -- 5. HOMOTOPY INVARIANTS -- 6. WEAK EQUIVALENCES, COMPLETIONS, AND HOMOTOPY LIMITS -- 7. FINITENESS AND HOMOLOGY -- 8. COMPARISON OF HOMOTOPY TYPES -- 9. APPLICATIONS TO TOPOLOGY -- 10. COMPARISON OF GEOMETRIC AND HOMOTOPY THEORETIC FIBRES -- 11. APPLICATIONS TO GEOMETRY -- 12. APPLICATIONS TO FINITE CHE VALLEY GROUPS -- 13. FUNCTION COMPLEXES -- 14. RELATIVE COHOMOLOGY -- 15. TUBULAR NEIGHBORHOODS -- 16. GENERALIZED COHOMOLOGY -- 17. POINCARÉ DUALITY AND LOCALLY COMPACT HOMOLOGY -- REFERENCES -- INDEX -- Backmatter
Record Nr. UNINA-9910154744803321
Friedlander Eric M.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Higher topos theory [[electronic resource] /] / Jacob Lurie
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->  
Princeton, N.J., : Princeton University Press, 2009
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Theory of categories / Nicolae Popescu, Liliana Popescu
Theory of categories / Nicolae Popescu, Liliana Popescu
Autore Popescu, Nicolae
Pubbl/distr/stampa Bucuresti, : Editura Academiei ; Alphen aan den Rijn, : Wolters-Noordhoff, 1979
Descrizione fisica x, 338 p. ; 24 cm
Altri autori (Persone) Popescu, Liliana
Soggetto topico 18-XX - Category theory; homological algebra [MSC 2020]
Soggetto non controllato Adjoint functors
Algebra
Colimit
Coproduct
Morphism
Topology
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNICAMPANIA-VAN0266180
Popescu, Nicolae  
Bucuresti, : Editura Academiei ; Alphen aan den Rijn, : Wolters-Noordhoff, 1979
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
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Theory of categories / Nicolae Popescu, Liliana Popescu
Theory of categories / Nicolae Popescu, Liliana Popescu
Autore Popescu, Nicolae
Pubbl/distr/stampa Bucuresti, : Editura Academiei ; Alphen aan den Rijn, : Wolters-Noordhoff, 1979
Descrizione fisica x, 338 p. ; 24 cm
Altri autori (Persone) Popescu, Liliana
Soggetto topico 18-XX - Category theory; homological algebra [MSC 2020]
Soggetto non controllato Adjoint functors
Algebra
Colimit
Coproduct
Morphism
Topology
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNICAMPANIA-VAN00266180
Popescu, Nicolae  
Bucuresti, : Editura Academiei ; Alphen aan den Rijn, : Wolters-Noordhoff, 1979
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
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Triangulated categories / / by Amnon Neeman
Triangulated categories / / by Amnon Neeman
Autore Neeman Amnon
Pubbl/distr/stampa Princeton, New Jersey : , : Princeton University Press, , 2001
Descrizione fisica 1 online resource (461 p.)
Disciplina 512/.55
Collana Annals of Mathematics Studies
Soggetto topico Categories (Mathematics)
Soggetto non controllato Abelian category
Abelian group
Additive category
Adjoint functors
Adjoint
Adjunction (field theory)
Associative property
Axiom
Basis (linear algebra)
Bijection
Biproduct
Brown's representability theorem
Cardinal number
Cardinality
Category of abelian groups
Chain complex
Class (set theory)
Cohomology
Computation
Coproduct
Corollary
Countable set
Counterexample
Derived category
Derived functor
Diagram (category theory)
Direct limit
Direct sum
Discrete valuation ring
Duality (mathematics)
Embedding
Equivalence class
Equivalence of categories
Exact functor
Exact sequence
Existence theorem
Existential quantification
Factorization
Finitely generated abelian group
Functor category
Functor
Grothendieck category
Grothendieck's Tôhoku paper
Group homomorphism
Homological algebra
Homotopy category of chain complexes
Homotopy category
Homotopy colimit
Homotopy
I0
Injective function
Injective object
Integer
Isomorph
Isomorphism class
Jack Morava
K-theory
Limit (category theory)
Limit of a sequence
Limit ordinal
Linear map
Mapping cone (homological algebra)
Mathematical induction
Maximal ideal
Module (mathematics)
Monomorphism
Moore space
Morphism
N0
Natural transformation
Open set
Partially ordered set
Pierre Deligne
Prime number
Projective object
Proportionality (mathematics)
Quotient category
Regular cardinal
Representable functor
Sheaf (mathematics)
Special case
Spectral sequence
Subcategory
Subobject
Subsequence
Subset
Successor ordinal
Summation
Tautology (logic)
Tensor product
Theorem
Theory
Topological group
Transfinite induction
Transfinite
Triangulated category
Universal property
Vector space
Vladimir Voevodsky
Yoneda lemma
ISBN 0-691-08685-0
1-4008-3721-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Contents -- 0. Acknowledgements -- 1. Introduction -- Chapter 1. Definition and elementary properties of triangulated categories -- Chapter 2. Triangulated functors and localizations of triangulated categories -- Chapter 3. Perfection of classes -- Chapter 4. Small objects, and Thomason's localisation theorem -- Chapter 5. The category A(S) -- Chapter 6. The category Εx (Sop, Ab) -- Chapter 7. Homological properties of Εx(Sop,Αb) -- Chapter 8. Brown representability -- Chapter 9. Bousfield localisation -- Appendix A. Abelian categories -- Appendix B. Homological functors into [AB5α] categories -- Appendix C. Counterexamples concerning the abelian category A(Τ) -- Appendix D. Where Τ is the homotopy category of spectra -- Appendix E. Examples of non-perfectly-generated categories -- Bibliography -- Index
Record Nr. UNINA-9910791958903321
Neeman Amnon  
Princeton, New Jersey : , : Princeton University Press, , 2001
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Triangulated categories / / by Amnon Neeman
Triangulated categories / / by Amnon Neeman
Autore Neeman Amnon
Pubbl/distr/stampa Princeton, New Jersey : , : Princeton University Press, , 2001
Descrizione fisica 1 online resource (461 p.)
Disciplina 512/.55
Collana Annals of Mathematics Studies
Soggetto topico Categories (Mathematics)
Soggetto non controllato Abelian category
Abelian group
Additive category
Adjoint functors
Adjoint
Adjunction (field theory)
Associative property
Axiom
Basis (linear algebra)
Bijection
Biproduct
Brown's representability theorem
Cardinal number
Cardinality
Category of abelian groups
Chain complex
Class (set theory)
Cohomology
Computation
Coproduct
Corollary
Countable set
Counterexample
Derived category
Derived functor
Diagram (category theory)
Direct limit
Direct sum
Discrete valuation ring
Duality (mathematics)
Embedding
Equivalence class
Equivalence of categories
Exact functor
Exact sequence
Existence theorem
Existential quantification
Factorization
Finitely generated abelian group
Functor category
Functor
Grothendieck category
Grothendieck's Tôhoku paper
Group homomorphism
Homological algebra
Homotopy category of chain complexes
Homotopy category
Homotopy colimit
Homotopy
I0
Injective function
Injective object
Integer
Isomorph
Isomorphism class
Jack Morava
K-theory
Limit (category theory)
Limit of a sequence
Limit ordinal
Linear map
Mapping cone (homological algebra)
Mathematical induction
Maximal ideal
Module (mathematics)
Monomorphism
Moore space
Morphism
N0
Natural transformation
Open set
Partially ordered set
Pierre Deligne
Prime number
Projective object
Proportionality (mathematics)
Quotient category
Regular cardinal
Representable functor
Sheaf (mathematics)
Special case
Spectral sequence
Subcategory
Subobject
Subsequence
Subset
Successor ordinal
Summation
Tautology (logic)
Tensor product
Theorem
Theory
Topological group
Transfinite induction
Transfinite
Triangulated category
Universal property
Vector space
Vladimir Voevodsky
Yoneda lemma
ISBN 0-691-08685-0
1-4008-3721-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Contents -- 0. Acknowledgements -- 1. Introduction -- Chapter 1. Definition and elementary properties of triangulated categories -- Chapter 2. Triangulated functors and localizations of triangulated categories -- Chapter 3. Perfection of classes -- Chapter 4. Small objects, and Thomason's localisation theorem -- Chapter 5. The category A(S) -- Chapter 6. The category Εx (Sop, Ab) -- Chapter 7. Homological properties of Εx(Sop,Αb) -- Chapter 8. Brown representability -- Chapter 9. Bousfield localisation -- Appendix A. Abelian categories -- Appendix B. Homological functors into [AB5α] categories -- Appendix C. Counterexamples concerning the abelian category A(Τ) -- Appendix D. Where Τ is the homotopy category of spectra -- Appendix E. Examples of non-perfectly-generated categories -- Bibliography -- Index
Record Nr. UNINA-9910821730503321
Neeman Amnon  
Princeton, New Jersey : , : Princeton University Press, , 2001
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