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Combinatorial Group Theory and Topology. (AM-111), Volume 111 / / John R. Stallings, S. M. Gersten
| Combinatorial Group Theory and Topology. (AM-111), Volume 111 / / John R. Stallings, S. M. Gersten |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (565 pages) : illustrations |
| Disciplina | 512/.22 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Combinatorial group theory
Topology |
| Soggetto non controllato |
Abelian group
Algebraic equation Algebraic integer Automorphism Basis (linear algebra) Betti number Cayley graph Cayley–Hamilton theorem Characteristic polynomial Characteristic subgroup Characterization (mathematics) Classifying space Combinatorial group theory Combinatorics Commutative algebra Commutative property Commutator subgroup Compactification (mathematics) Complement (set theory) Conformal map Conjugacy class Connected component (graph theory) Connectivity (graph theory) Coprime integers Coset Coxeter group Cyclic group Cyclic permutation Degeneracy (mathematics) Dehn's lemma Diagram (category theory) Dirac delta function Disk (mathematics) Epimorphism Equation Euclidean group Finite group Finitely generated abelian group Finitely generated group Free abelian group Free group Freiheitssatz Fuchsian group Function (mathematics) Fundamental domain Fundamental group Fundamental lemma (Langlands program) G-module General linear group Generating set of a group Geodesic Graph (discrete mathematics) Graph of groups Graph product Group theory Haken manifold Harmonic analysis Homological algebra Homology (mathematics) Homomorphism Homotopy Hurwitz's theorem (number theory) Hyperbolic 3-manifold Identity theorem Inclusion map Inequality (mathematics) Inner automorphism Intersection (set theory) Intersection number (graph theory) Intersection number Invertible matrix Jacobian matrix and determinant Knot theory Limit point Mapping class group Mapping cone (homological algebra) Mathematical induction Module (mathematics) Parity (mathematics) Poincaré conjecture Prime number Pullback (category theory) Quotient group Representation theory Residually finite group Riemann surface Seifert–van Kampen theorem Separatrix (mathematics) Set theory Simplicial complex Sphere theorem (3-manifolds) Sphere theorem Subgroup Sylow theorems Theorem Topology Union (set theory) Uniqueness theorem Variable (mathematics) Word problem (mathematics) |
| ISBN | 1-4008-8208-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- PREFACE -- I. Combinatorial Group Theory -- PROBLEMS IN COMBINATORIAL GROUP THEORY / Lyndon, Roger -- POINCARÉ DUALITY GROUPS OF DIMENSION TWO ARE SURFACE GROUPS / Eckmann, Beno -- HOW TO GENERALIZE ONE-RELATOR GROUP THEORY / Howie, James -- GRAPHICAL THEORY OF AUTOMORPHISMS OF FREE GROUPS / Stallings, John R. -- PEAK REDUCTION AND AUTOMORPHISMS OF FREE GROUPS AND FREE PRODUCTS / Collins, Donald J . -- NONSINGULAR EQUATIONS OF SMALL WEIGHT OVER GROUPS / Gersten, S. M. -- GRAPH-THEORETIC LEMMA AND GROUP-EMBEDDINGS / Stallings, John R. -- THE TODD-COXETER PROCESS, USING GRAPHS / Stallings, John R. / Wolf, A. Royce -- A SUBGROUP THEOREM FOR PREGROUPS / Rimlinger, Frank -- GROUPS WITH A RATIONAL CROSS-SECTION / Gilman, Robert H. -- ON THE RATIONAL GROWTH OF VIRTUALLY NILPOTENT GROUPS / Benson, Max -- SJOGREN'S THEOREM FOR DIMENSION SUBGROUPS - THE METABELIAN CASE -- ON GROUP PRESENTATIONS, COPRODUCTS AND INVERSES / Craggs, Robert / Howie, James -- ON COMPLEXES DOMINATED BY A TWO-COMPLEX / Ratcliffe, John G. -- SUBCOMPLEXES OF TWO-COMPLEXES AND PROJECTIVE CROSSED MODULES / Dyer, Micheal -- LENGTH FUNCTIONS OF GROUP ACTIONS ON A-TREES / Alperin, Roger / Bass, Hyman -- II. Very Low Dimensional Topology -- RESIDUAL FINITENESS FOR 3-MANIFOLDS / Hempel, John -- THE NIELSEN-THURSTON THEORY OF SURFACE AUTOMORPHISMS / Bleiler, Steven A. -- WHITEHEAD GROUPS OF CERTAIN HYPERBOLIC MANIFOLDS, II / Nicas, A. J / Stark, C.W. -- CHARACTERIZATION OF FINITE SUBGROUPS OF THE MAPPING-CLASS GROUP / Gilman, Jane -- A SEQUENCE OF PSEUDO-ANOSOV DIFFEOMORPHISMS / Neuwirth, L. / Patterson, N. -- DEHN'S ALGORITHM REVISITED, WITH APPLICATIONS TO SIMPLE CURVES ON SURFACES / Birman, Joan S. / Series, Caroline -- PATHS OF GEODESICS AND GEOMETRIC INTERSECTION NUMBERS: I / Cohen, Marshall / Lustig, Martin -- PATHS OF GEODESICS AND GEOMETRIC INTERSECTION NUMBERS: II / Lustig, Martin -- SELECTED PROBLEMS / Gersten, S. M. -- Backmatter |
| Record Nr. | UNINA-9910154748903321 |
| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 | ||
| ||
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 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||