Cohomologie des espaces localement compacts d'après J. Leray : exposés faits au Séminaire de topologie algébrique de l'Ecole polytechnique fédérale au printemps 1951 / Armand Borel |
Autore | Borel, Armand |
Edizione | [3. éd.] |
Pubbl/distr/stampa | Berlin : Springer-Verlag, 1964 |
Descrizione fisica | 1 v. (various paging) ; 30 cm |
Disciplina | 514.23 |
Collana | Lecture notes in mathematics, 0075-8434 ; 2 |
Soggetto topico | Homology theory |
Classificazione |
AMS 55N
LC QA3.L28 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | fre |
Record Nr. | UNISALENTO-991000749839707536 |
Borel, Armand | ||
Berlin : Springer-Verlag, 1964 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|
The cohomology of commutative semigroups : an overview / / Pierre Antoine Grillet |
Autore | Grillet Pierre A (Pierre Antoine), <1941-> |
Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
Descrizione fisica | 1 online resource (191 pages) |
Disciplina | 514.23 |
Collana | Lecture Notes in Mathematics |
Soggetto topico |
Cohomology operations
Commutative semigroups Homologia |
Soggetto genere / forma | Llibres electrònics |
ISBN |
9783031082122
9783031082115 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Intro -- Preface -- Contents -- List of Symbols -- 1 The Beginning -- 1.1 The Congruence H -- 1.1.1 Basics -- 1.1.2 Commutative Group Coextensions -- 1.2 Construction -- 1.2.1 Schreier's Method -- 1.2.2 Split Coextensions -- 1.2.3 Enter Cohomology -- 1.2.4 Finite Semigroups -- 2 Beck Cohomology -- 2.1 General Beck Cohomology -- 2.1.1 Simple Cohomology -- 2.1.2 Abelian Group Objects -- 2.1.3 Objects Over S -- 2.1.4 Beck Cohomology -- 2.1.5 Main Properties -- 2.1.6 Beck Extensions -- 2.2 Commutative Semigroups -- 2.2.1 Commutative Semigroups Over S -- 2.2.2 Abelian Group Objects Over S -- 2.2.3 Beck Extensions of S -- 2.3 Beck Cohomology of Commutative Semigroups -- 2.3.1 The `Free Commutative Semigroup' Adjunction -- 2.3.2 The `Free Commutative Semigroup' Comonad -- 2.3.3 Cochains -- 2.3.4 Cohomology -- 2.3.5 Properties -- 3 Symmetric Cohomology -- 3.1 Definition -- 3.1.1 Cochains -- 3.1.2 Symmetric Cochains -- 3.1.3 Symmetric Cohomology -- 3.1.4 An Example -- 3.2 Comparison with Beck Cohomology -- 3.2.1 Dimension 1 -- 3.2.2 Dimension 2 -- 3.2.3 Dimensions 3 and 4 -- 3.3 Main Properties -- 3.4 Normalization -- 3.4.1 Dimension 2 -- 3.4.2 Dimension 3 -- 4 Calvo-Cegarra Cohomology -- 4.1 Small Categories -- 4.2 Cohomology of Simplicial Sets -- 4.2.1 Definition -- 4.2.2 Cochains -- 4.2.3 The Classifying Simplicial Set -- 4.3 Cohomology of Commutative Semigroups -- 4.3.1 The Double Classifying Simplicial Set -- 4.3.2 Cochains -- 4.4 Extended Cochains -- 4.4.1 Definition -- 4.4.2 Comparison with Symmetric Cohomology -- 4.4.3 An Example -- 4.5 Properties -- 5 The Third Cohomology Group -- 5.1 Groupoids -- 5.1.1 Groupoids -- 5.1.2 Monoidal Groupoids -- 5.1.3 Reduction -- 5.1.4 The Base -- 5.2 Symmetric 3-Cocycles -- 5.2.1 Cocycle Objects -- 5.2.2 Morphisms -- 5.3 Classification -- 5.3.1 Isomorphisms -- 5.3.2 Equivalence -- 5.3.3 Lone Cocycles.
5.4 Braided Groupoids -- 5.4.1 Definition -- 5.4.2 Reduction -- 5.4.3 The Base -- 5.4.4 Extended Cocycle Objects -- 5.4.5 Classification -- 6 The Overpath Method -- 6.1 Paths and Overpaths -- 6.1.1 Free Commutative Monoids -- 6.1.2 Congruences -- 6.1.3 Paths -- 6.1.4 Overpaths -- 6.2 Main Result -- 6.2.1 Minimal Cocycles -- 6.2.2 Main Result -- 6.2.3 Examples -- 6.2.4 Semigroups with One Relator -- 6.3 Other Results -- 6.3.1 Branching -- 6.3.2 Relations -- 6.3.3 Partially Free Semigroups -- 6.3.4 Nilmonoids -- 6.3.5 Semigroups with Zero Cohomology -- 7 Symmetric Chains -- 7.1 Symmetric Mappings -- 7.1.1 Symmetry -- 7.1.2 Bases -- 7.2 Chain Groups -- 7.2.1 Definition -- 7.2.2 Properties -- 7.2.3 Symmetric n-chains -- 7.3 Chain Functors -- 7.3.1 Thin Chain Functors -- 7.3.2 General Chain Functors -- 7.4 Semiconstant Functors -- 7.4.1 Definition -- 7.4.2 Chain Groups -- 7.4.3 Properties -- 7.4.4 Homology -- 7.4.5 Cohomology -- 8 Inheritance -- 8.1 The Universal Coboundary -- 8.1.1 Symmetry Properties -- 8.1.2 The Universal Coboundary -- 8.1.3 The Group D -- 8.2 One Equality Between Variables -- 8.3 Results -- 8.3.1 Method -- 8.3.2 Order 5 -- 8.3.3 Other Orders -- 9 Appendixes -- 9.1 Extensions -- 9.1.1 Group Extensions -- 9.1.2 Rédei Extensions -- 9.1.3 The Leech Categories -- 9.1.4 Cosets -- 9.1.5 Group Coextensions -- 9.1.6 Congruences Contained in H -- 9.1.7 Leech Coextensions -- 9.1.8 Leech Cohomology -- 9.2 Monads and Algebras -- 9.2.1 Adjunctions -- 9.2.2 Monads -- 9.2.3 Algebras -- 9.3 Simplicial Objects -- 9.3.1 Simplicial Sets -- 9.3.2 The Simplicial Category -- 9.3.3 The Classifying Simplicial Set -- 9.3.4 Cohomology -- 9.4 Monoidal Categories -- 9.4.1 Strict Monoidal Categories -- 9.4.2 General Monoidal Categories -- 9.4.3 Monoidal Functors -- 9.4.4 Braided Monoidal Categories -- 9.5 Modules -- 9.5.1 S-Modules -- 9.5.2 Quasiconstant Functors. 9.5.3 Conclusions -- References -- Index. |
Record Nr. | UNISA-996490345203316 |
Grillet Pierre A (Pierre Antoine), <1941-> | ||
Cham, Switzerland : , : Springer, , [2022] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
|
The cohomology of commutative semigroups : an overview / / Pierre Antoine Grillet |
Autore | Grillet Pierre A (Pierre Antoine), <1941-> |
Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
Descrizione fisica | 1 online resource (191 pages) |
Disciplina | 514.23 |
Collana | Lecture Notes in Mathematics |
Soggetto topico |
Cohomology operations
Commutative semigroups Homologia |
Soggetto genere / forma | Llibres electrònics |
ISBN |
9783031082122
9783031082115 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Intro -- Preface -- Contents -- List of Symbols -- 1 The Beginning -- 1.1 The Congruence H -- 1.1.1 Basics -- 1.1.2 Commutative Group Coextensions -- 1.2 Construction -- 1.2.1 Schreier's Method -- 1.2.2 Split Coextensions -- 1.2.3 Enter Cohomology -- 1.2.4 Finite Semigroups -- 2 Beck Cohomology -- 2.1 General Beck Cohomology -- 2.1.1 Simple Cohomology -- 2.1.2 Abelian Group Objects -- 2.1.3 Objects Over S -- 2.1.4 Beck Cohomology -- 2.1.5 Main Properties -- 2.1.6 Beck Extensions -- 2.2 Commutative Semigroups -- 2.2.1 Commutative Semigroups Over S -- 2.2.2 Abelian Group Objects Over S -- 2.2.3 Beck Extensions of S -- 2.3 Beck Cohomology of Commutative Semigroups -- 2.3.1 The `Free Commutative Semigroup' Adjunction -- 2.3.2 The `Free Commutative Semigroup' Comonad -- 2.3.3 Cochains -- 2.3.4 Cohomology -- 2.3.5 Properties -- 3 Symmetric Cohomology -- 3.1 Definition -- 3.1.1 Cochains -- 3.1.2 Symmetric Cochains -- 3.1.3 Symmetric Cohomology -- 3.1.4 An Example -- 3.2 Comparison with Beck Cohomology -- 3.2.1 Dimension 1 -- 3.2.2 Dimension 2 -- 3.2.3 Dimensions 3 and 4 -- 3.3 Main Properties -- 3.4 Normalization -- 3.4.1 Dimension 2 -- 3.4.2 Dimension 3 -- 4 Calvo-Cegarra Cohomology -- 4.1 Small Categories -- 4.2 Cohomology of Simplicial Sets -- 4.2.1 Definition -- 4.2.2 Cochains -- 4.2.3 The Classifying Simplicial Set -- 4.3 Cohomology of Commutative Semigroups -- 4.3.1 The Double Classifying Simplicial Set -- 4.3.2 Cochains -- 4.4 Extended Cochains -- 4.4.1 Definition -- 4.4.2 Comparison with Symmetric Cohomology -- 4.4.3 An Example -- 4.5 Properties -- 5 The Third Cohomology Group -- 5.1 Groupoids -- 5.1.1 Groupoids -- 5.1.2 Monoidal Groupoids -- 5.1.3 Reduction -- 5.1.4 The Base -- 5.2 Symmetric 3-Cocycles -- 5.2.1 Cocycle Objects -- 5.2.2 Morphisms -- 5.3 Classification -- 5.3.1 Isomorphisms -- 5.3.2 Equivalence -- 5.3.3 Lone Cocycles.
5.4 Braided Groupoids -- 5.4.1 Definition -- 5.4.2 Reduction -- 5.4.3 The Base -- 5.4.4 Extended Cocycle Objects -- 5.4.5 Classification -- 6 The Overpath Method -- 6.1 Paths and Overpaths -- 6.1.1 Free Commutative Monoids -- 6.1.2 Congruences -- 6.1.3 Paths -- 6.1.4 Overpaths -- 6.2 Main Result -- 6.2.1 Minimal Cocycles -- 6.2.2 Main Result -- 6.2.3 Examples -- 6.2.4 Semigroups with One Relator -- 6.3 Other Results -- 6.3.1 Branching -- 6.3.2 Relations -- 6.3.3 Partially Free Semigroups -- 6.3.4 Nilmonoids -- 6.3.5 Semigroups with Zero Cohomology -- 7 Symmetric Chains -- 7.1 Symmetric Mappings -- 7.1.1 Symmetry -- 7.1.2 Bases -- 7.2 Chain Groups -- 7.2.1 Definition -- 7.2.2 Properties -- 7.2.3 Symmetric n-chains -- 7.3 Chain Functors -- 7.3.1 Thin Chain Functors -- 7.3.2 General Chain Functors -- 7.4 Semiconstant Functors -- 7.4.1 Definition -- 7.4.2 Chain Groups -- 7.4.3 Properties -- 7.4.4 Homology -- 7.4.5 Cohomology -- 8 Inheritance -- 8.1 The Universal Coboundary -- 8.1.1 Symmetry Properties -- 8.1.2 The Universal Coboundary -- 8.1.3 The Group D -- 8.2 One Equality Between Variables -- 8.3 Results -- 8.3.1 Method -- 8.3.2 Order 5 -- 8.3.3 Other Orders -- 9 Appendixes -- 9.1 Extensions -- 9.1.1 Group Extensions -- 9.1.2 Rédei Extensions -- 9.1.3 The Leech Categories -- 9.1.4 Cosets -- 9.1.5 Group Coextensions -- 9.1.6 Congruences Contained in H -- 9.1.7 Leech Coextensions -- 9.1.8 Leech Cohomology -- 9.2 Monads and Algebras -- 9.2.1 Adjunctions -- 9.2.2 Monads -- 9.2.3 Algebras -- 9.3 Simplicial Objects -- 9.3.1 Simplicial Sets -- 9.3.2 The Simplicial Category -- 9.3.3 The Classifying Simplicial Set -- 9.3.4 Cohomology -- 9.4 Monoidal Categories -- 9.4.1 Strict Monoidal Categories -- 9.4.2 General Monoidal Categories -- 9.4.3 Monoidal Functors -- 9.4.4 Braided Monoidal Categories -- 9.5 Modules -- 9.5.1 S-Modules -- 9.5.2 Quasiconstant Functors. 9.5.3 Conclusions -- References -- Index. |
Record Nr. | UNINA-9910616380303321 |
Grillet Pierre A (Pierre Antoine), <1941-> | ||
Cham, Switzerland : , : Springer, , [2022] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
The Cohomology of Monoids [[electronic resource] /] / by Antonio M. Cegarra, Jonathan Leech |
Autore | Cegarra Antonio M |
Edizione | [1st ed. 2024.] |
Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024 |
Descrizione fisica | 1 online resource (227 pages) |
Disciplina | 514.23 |
Altri autori (Persone) | LeechJonathan |
Collana | RSME Springer Series |
Soggetto topico |
Algebra
Algebraic topology Geometry Topology Algebraic Topology |
ISBN | 3-031-50258-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910845079803321 |
Cegarra Antonio M | ||
Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Cohomology operations / lectures by N.E. Steenrod ; written and revised by D.B.A. Epstein |
Pubbl/distr/stampa | Princeton : Princeton University press, 1962 |
Descrizione fisica | 138 p. : ill. ; 23 cm |
Disciplina | 514.23 |
Collana | Annals of Mathematics studies |
Soggetto non controllato | Comologia Studi |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISA-990000620050203316 |
Princeton : Princeton University press, 1962 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
|
Cohomology theories / Eldon Dyer |
Autore | Dyer, Eldon |
Pubbl/distr/stampa | New York : W. A. Benjamin, 1969 |
Descrizione fisica | xiii, 183 p. ; 23 cm. |
Disciplina | 514.23 |
Collana | Mathematics lecture note series |
Soggetto topico | Cohomology theory |
Classificazione |
AMS 20G10
AMS 55N20 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000751009707536 |
Dyer, Eldon | ||
New York : W. A. Benjamin, 1969 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|
Commutator calculus and groups of homotopy classes / Hans Joachim Baues |
Autore | BAUES, Hans Joachim |
Pubbl/distr/stampa | Cambridge [etc.] : Cambridge University press, copyr. 1981 |
Descrizione fisica | 160 p. ; 24 cm |
Disciplina | 514.23 |
Collana | London mathematical society lecture notes series |
Soggetto topico | Topologia algebrica |
ISBN | 0-521-28424-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISA-990003341070203316 |
BAUES, Hans Joachim | ||
Cambridge [etc.] : Cambridge University press, copyr. 1981 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
|
Computational homology / T. Kaczynski,K. Mischaikow,M. Mzorek |
Autore | Kaczynski, Tomasz |
Pubbl/distr/stampa | New York : Springer, c2004 |
Descrizione fisica | xvii, 480 p. ; 24 cm |
Disciplina | 514.23 |
Altri autori (Persone) |
Mischaikow, Konstantin
Mzorek, Marian |
Collana | Applied mathematical sciences |
Soggetto non controllato |
Teoria della omologia
Topologia algebrica |
ISBN | 0-387-40853-3 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-990007895710403321 |
Kaczynski, Tomasz | ||
New York : Springer, c2004 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Computational homology / Tomasz Kaczynski, Konstantin Mischaikow, Marian Mrozek |
Autore | Kaczynski, Tomasz |
Pubbl/distr/stampa | New York : Springer, c2004 |
Descrizione fisica | xvii, 480 p. : ill. ; 24 cm |
Disciplina | 514.23 |
Altri autori (Persone) |
Mischaikow, Konstantin Michaelauthor
Mrozek, Marianauthor |
Collana | Applied mathematical sciences, 0066-5452 ; 157 |
Soggetto topico | Homology theory |
ISBN | 0387408533 |
Classificazione |
AMS 55-02
AMS 55M20 LC QA612.3.k33 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991001283419707536 |
Kaczynski, Tomasz | ||
New York : Springer, c2004 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|
Connections, curvature, and cohomology / Werner Greub, Stephen Halperin, and Ray Vanstone |
Autore | Greub, Werner Hildbert |
Pubbl/distr/stampa | New York : Academic Press, 1972-76 |
Descrizione fisica | 3 v. ; 24 cm |
Disciplina |
514.23
516.36 |
Altri autori (Persone) |
Halperin, Stephenauthor
Vanstone, Ray |
Collana |
Pure and applied mathematics. A series of monographs & textbooks, [Academic Press] 0079-8169 ; 47/I
Pure and applied mathematics. A series of monographs & textbooks, [Academic Press] 0079-8169 ; 47/II Pure and applied mathematics. A series of monographs & textbooks, [Academic Press] 0079-8169 ; 47/III |
Soggetto topico |
Connections
Curvature Differential geometry Homology theory |
Classificazione |
AMS 53-XX
AMS 57-XX |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000782719707536 |
Greub, Werner Hildbert | ||
New York : Academic Press, 1972-76 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|