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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
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
Opac: Controlla la disponibilità qui
The cohomology of commutative semigroups : an overview / / Pierre Antoine Grillet
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
Opac: Controlla la disponibilità qui
The cohomology of commutative semigroups : an overview / / Pierre Antoine Grillet
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
Opac: Controlla la disponibilità qui
The Cohomology of Monoids [[electronic resource] /] / by Antonio M. Cegarra, Jonathan Leech
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
Opac: Controlla la disponibilità qui
Cohomology operations / lectures by N.E. Steenrod ; written and revised by D.B.A. Epstein
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
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Cohomology theories / Eldon Dyer
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
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Commutator calculus and groups of homotopy classes / Hans Joachim Baues
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
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Computational homology / T. Kaczynski,K. Mischaikow,M. Mzorek
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
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Computational homology / Tomasz Kaczynski, Konstantin Mischaikow, Marian Mrozek
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
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Connections, curvature, and cohomology / Werner Greub, Stephen Halperin, and Ray Vanstone
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
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