Boundedly controlled topology : foundations of algebraic topology and simple homotopy theory / Douglas R. Anderson, Hans J. Munkholm |
Autore | Anderson, Douglas R. |
Pubbl/distr/stampa | Berlin : Springer-Verlag, c1988 |
Descrizione fisica | xii, 309 p. ; 25 cm. |
Disciplina | 514.22 |
Altri autori (Persone) | Munkholm, Hans J. |
Collana | Lecture notes in mathematics, 0075-8434 ; 1323 |
Soggetto topico |
Categories
Complexes Homotopy theory Piecewise linear topology |
ISBN | 0387193979 |
Classificazione |
AMS 57Q10
AMS 57R80 QA3.L28 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000722489707536 |
Anderson, Douglas R. | ||
Berlin : Springer-Verlag, c1988 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|
Dynamical zeta functions, Nielsen theory, and Reidemeister torsion / / Alexander Felʹshtyn |
Autore | Felʹshtyn Alexander <1952-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2000 |
Descrizione fisica | 1 online resource (165 p.) |
Disciplina |
510 s
515/.56 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Functions, Zeta
Fixed point theory Piecewise linear topology |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-0290-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Introduction""; ""0.1 From Riemann zeta function to dynamical zeta functions""; ""0.1.1 Riemann zeta function""; ""0.1.2 Problems concerning zeta functions""; ""0.1.3 Important types of zeta functions""; ""0.1.4 Hasse-Weil zeta function""; ""0.1.5 Dynamical zeta functions""; ""0.2 Dynamical zeta functions and Nielsen fixed point theory""; ""0.3 Congruences for Reidemeister numbers""; ""0.4 Reidemeister torsion""; ""0.5 Table of contents""; ""1 Nielsen Fixed Point Theory""; ""1.1 History""; ""1.2 Lifting classes and fixed point classes""; ""1.2.1 The influence of a homotopy""
""1.3 Reidemeister numbers""""1.3.1 Reidemeister numbers of a continuous map""; ""1.3.2 Reidemeister numbers of a group endomorphism""; ""1.4 Nielsen numbers of a continuous map""; ""1.4.1 The fixed point index""; ""1.4.2 Nielsen numbers""; ""1.4.3 The least number of fixed points""; ""2 The Reidemeister zeta function""; ""2.1 A Convolution Product""; ""2.2 Pontryagin Duality""; ""2.3 Eventually commutative endomorphisms""; ""2.3.1 Trace formula for the Reidemeister numbers of eventually commutative endomorphisms"" ""2.3.2 Rationality of Reidemeister zeta functions of eventually commutative endomorphisms - first proof""""2.3.3 Functional equation for the Reidemeister zeta function of an eventually commutative endomorphism""; ""2.3.4 Rationality of Reidemeister zeta functions of eventually commutative endomorphisms - second proof""; ""2.3.5 Connection of the Reidemeister zeta function with the Lefschetz zeta function of the dual map""; ""2.4 Endomorphisms of finite groups""; ""2.5 Endomorphisms of the direct sum of a free Abelian and a finite group""; ""2.6 Endomorphisms of nilpotent groups"" ""2.6.1 Functional equation""""2.7 The Reidemeister zeta function and group extensions""; ""2.8 The Reidemeister zeta function of a continuous map""; ""2.8.1 The Reidemeister zeta function of a continuous map and Serre bundles""; ""3 The Nielsen zeta function""; ""3.1 Radius of Convergence of the Nielsen zeta function""; ""3.1.1 Topological entropy""; ""3.1.2 Algebraic lower estimation for the Radius of Convergence""; ""3.2 Nielsen zeta function of a periodic map""; ""3.3 Orientation-preserving homeomorphisms of a compact surface"" ""3.3.1 Geometry of the Mapping Torus and Radius of Convergence""""3.4 The Jiang subgroup and the Nielsen zeta function""; ""3.5 Polyhedra with finite fundamental group""; ""3.6 Nielsen zeta function in other special cases""; ""3.6.1 Pseudo-Anosov homeomorphism of a compact surface""; ""3.7 The Nielsen zeta function and Serre bundles""; ""3.8 Examples""; ""4 Reidemeister and Nielsen zeta functions modulo normal subgroup, minimal dynamical zeta functions""; ""4.1 Reidemeister and Nielsen zeta functions modulo a normal subgroup"" ""4.1.1 Radius of Convergence of the mod K Nielsen zeta function"" |
Record Nr. | UNINA-9910480600203321 |
Felʹshtyn Alexander <1952-> | ||
Providence, Rhode Island : , : American Mathematical Society, , 2000 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Dynamical zeta functions, Nielsen theory, and Reidemeister torsion / / Alexander Felʹshtyn |
Autore | Felʹshtyn Alexander <1952-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2000 |
Descrizione fisica | 1 online resource (165 p.) |
Disciplina |
510 s
515/.56 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Functions, Zeta
Fixed point theory Piecewise linear topology |
ISBN | 1-4704-0290-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Introduction""; ""0.1 From Riemann zeta function to dynamical zeta functions""; ""0.1.1 Riemann zeta function""; ""0.1.2 Problems concerning zeta functions""; ""0.1.3 Important types of zeta functions""; ""0.1.4 Hasse-Weil zeta function""; ""0.1.5 Dynamical zeta functions""; ""0.2 Dynamical zeta functions and Nielsen fixed point theory""; ""0.3 Congruences for Reidemeister numbers""; ""0.4 Reidemeister torsion""; ""0.5 Table of contents""; ""1 Nielsen Fixed Point Theory""; ""1.1 History""; ""1.2 Lifting classes and fixed point classes""; ""1.2.1 The influence of a homotopy""
""1.3 Reidemeister numbers""""1.3.1 Reidemeister numbers of a continuous map""; ""1.3.2 Reidemeister numbers of a group endomorphism""; ""1.4 Nielsen numbers of a continuous map""; ""1.4.1 The fixed point index""; ""1.4.2 Nielsen numbers""; ""1.4.3 The least number of fixed points""; ""2 The Reidemeister zeta function""; ""2.1 A Convolution Product""; ""2.2 Pontryagin Duality""; ""2.3 Eventually commutative endomorphisms""; ""2.3.1 Trace formula for the Reidemeister numbers of eventually commutative endomorphisms"" ""2.3.2 Rationality of Reidemeister zeta functions of eventually commutative endomorphisms - first proof""""2.3.3 Functional equation for the Reidemeister zeta function of an eventually commutative endomorphism""; ""2.3.4 Rationality of Reidemeister zeta functions of eventually commutative endomorphisms - second proof""; ""2.3.5 Connection of the Reidemeister zeta function with the Lefschetz zeta function of the dual map""; ""2.4 Endomorphisms of finite groups""; ""2.5 Endomorphisms of the direct sum of a free Abelian and a finite group""; ""2.6 Endomorphisms of nilpotent groups"" ""2.6.1 Functional equation""""2.7 The Reidemeister zeta function and group extensions""; ""2.8 The Reidemeister zeta function of a continuous map""; ""2.8.1 The Reidemeister zeta function of a continuous map and Serre bundles""; ""3 The Nielsen zeta function""; ""3.1 Radius of Convergence of the Nielsen zeta function""; ""3.1.1 Topological entropy""; ""3.1.2 Algebraic lower estimation for the Radius of Convergence""; ""3.2 Nielsen zeta function of a periodic map""; ""3.3 Orientation-preserving homeomorphisms of a compact surface"" ""3.3.1 Geometry of the Mapping Torus and Radius of Convergence""""3.4 The Jiang subgroup and the Nielsen zeta function""; ""3.5 Polyhedra with finite fundamental group""; ""3.6 Nielsen zeta function in other special cases""; ""3.6.1 Pseudo-Anosov homeomorphism of a compact surface""; ""3.7 The Nielsen zeta function and Serre bundles""; ""3.8 Examples""; ""4 Reidemeister and Nielsen zeta functions modulo normal subgroup, minimal dynamical zeta functions""; ""4.1 Reidemeister and Nielsen zeta functions modulo a normal subgroup"" ""4.1.1 Radius of Convergence of the mod K Nielsen zeta function"" |
Record Nr. | UNINA-9910788841403321 |
Felʹshtyn Alexander <1952-> | ||
Providence, Rhode Island : , : American Mathematical Society, , 2000 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Dynamical zeta functions, Nielsen theory, and Reidemeister torsion / / Alexander Felʹshtyn |
Autore | Felʹshtyn Alexander <1952-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2000 |
Descrizione fisica | 1 online resource (165 p.) |
Disciplina |
510 s
515/.56 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Functions, Zeta
Fixed point theory Piecewise linear topology |
ISBN | 1-4704-0290-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Introduction""; ""0.1 From Riemann zeta function to dynamical zeta functions""; ""0.1.1 Riemann zeta function""; ""0.1.2 Problems concerning zeta functions""; ""0.1.3 Important types of zeta functions""; ""0.1.4 Hasse-Weil zeta function""; ""0.1.5 Dynamical zeta functions""; ""0.2 Dynamical zeta functions and Nielsen fixed point theory""; ""0.3 Congruences for Reidemeister numbers""; ""0.4 Reidemeister torsion""; ""0.5 Table of contents""; ""1 Nielsen Fixed Point Theory""; ""1.1 History""; ""1.2 Lifting classes and fixed point classes""; ""1.2.1 The influence of a homotopy""
""1.3 Reidemeister numbers""""1.3.1 Reidemeister numbers of a continuous map""; ""1.3.2 Reidemeister numbers of a group endomorphism""; ""1.4 Nielsen numbers of a continuous map""; ""1.4.1 The fixed point index""; ""1.4.2 Nielsen numbers""; ""1.4.3 The least number of fixed points""; ""2 The Reidemeister zeta function""; ""2.1 A Convolution Product""; ""2.2 Pontryagin Duality""; ""2.3 Eventually commutative endomorphisms""; ""2.3.1 Trace formula for the Reidemeister numbers of eventually commutative endomorphisms"" ""2.3.2 Rationality of Reidemeister zeta functions of eventually commutative endomorphisms - first proof""""2.3.3 Functional equation for the Reidemeister zeta function of an eventually commutative endomorphism""; ""2.3.4 Rationality of Reidemeister zeta functions of eventually commutative endomorphisms - second proof""; ""2.3.5 Connection of the Reidemeister zeta function with the Lefschetz zeta function of the dual map""; ""2.4 Endomorphisms of finite groups""; ""2.5 Endomorphisms of the direct sum of a free Abelian and a finite group""; ""2.6 Endomorphisms of nilpotent groups"" ""2.6.1 Functional equation""""2.7 The Reidemeister zeta function and group extensions""; ""2.8 The Reidemeister zeta function of a continuous map""; ""2.8.1 The Reidemeister zeta function of a continuous map and Serre bundles""; ""3 The Nielsen zeta function""; ""3.1 Radius of Convergence of the Nielsen zeta function""; ""3.1.1 Topological entropy""; ""3.1.2 Algebraic lower estimation for the Radius of Convergence""; ""3.2 Nielsen zeta function of a periodic map""; ""3.3 Orientation-preserving homeomorphisms of a compact surface"" ""3.3.1 Geometry of the Mapping Torus and Radius of Convergence""""3.4 The Jiang subgroup and the Nielsen zeta function""; ""3.5 Polyhedra with finite fundamental group""; ""3.6 Nielsen zeta function in other special cases""; ""3.6.1 Pseudo-Anosov homeomorphism of a compact surface""; ""3.7 The Nielsen zeta function and Serre bundles""; ""3.8 Examples""; ""4 Reidemeister and Nielsen zeta functions modulo normal subgroup, minimal dynamical zeta functions""; ""4.1 Reidemeister and Nielsen zeta functions modulo a normal subgroup"" ""4.1.1 Radius of Convergence of the mod K Nielsen zeta function"" |
Record Nr. | UNINA-9910812747903321 |
Felʹshtyn Alexander <1952-> | ||
Providence, Rhode Island : , : American Mathematical Society, , 2000 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88), Volume 88 / / Laurence C. Siebenmann, Robion C. Kirby |
Autore | Kirby Robion C. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (373 pages) : illustrations |
Disciplina | 514/.7 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Manifolds (Mathematics)
Piecewise linear topology Triangulating manifolds |
Soggetto non controllato |
Affine space
Algebraic topology (object) Approximation Associative property Automorphism Big O notation CW complex Calculation Cap product Cartesian product Category of sets Chain complex Classification theorem Classifying space Cobordism Codimension Cofibration Cohomology Connected space Continuous function (set theory) Continuous function Counterexample Diffeomorphism Differentiable manifold Differential structure Differential topology Dimension (vector space) Direct proof Disjoint union Elementary proof Embedding Euclidean space Existence theorem Existential quantification Fiber bundle Fibration General position Geometry Group homomorphism H-cobordism H-space Handle decomposition Handlebody Hauptvermutung Hausdorff space Hilbert cube Homeomorphism group Homeomorphism Homomorphism Homotopy group Homotopy Inclusion map Injective function Invertible matrix K-cell (mathematics) Kan extension Linear subspace Linear topology Manifold Mapping cylinder Mathematical induction Mathematician Metric space Morse theory Neighbourhood (mathematics) Open set Partition of unity Piecewise linear manifold Piecewise linear Poincaré conjecture Polyhedron Principal bundle Product metric Pushout (category theory) Regular homotopy Retract Sheaf (mathematics) Simplicial complex Smoothing Spin structure Stability theory Stable manifold Standard map Submanifold Submersion (mathematics) Subset Surgery exact sequence Surjective function Theorem Topological group Topological manifold Topological space Topology Transversal (geometry) Transversality (mathematics) Transversality theorem Union (set theory) Uniqueness theorem Vector bundle Zorn's lemma |
ISBN | 1-4008-8150-1 |
Classificazione | SI 830 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Foreword -- Table of contents -- Guide -- Essay I. Deformation of smooth and piecewise linear manifold structures / Kirby, R. / Siebenmann, L. -- Essay II. Deformation of sliced families of manifold structures / Siebenmann, L. -- Essay III. Some basic theorems about topological manifolds / Siebenmann, L. / Kirby, R. -- Essay IV. Stable classification of smooth and piecewise linear manifold structures / Siebenmann, L. -- Essay V. Classification of sliced families of manifold structures / Siebenmann, L. -- Annex A. Stable homeomorphisms and the annulus conjecture / Kirby, Robion C. -- Annex B. On The Triangulation of Manifolds and the Hauptvermutung / Kirby, R. C. / Siebenmann, L. C. -- Annex C. Topological Manifolds / Siebenmann, L. C. -- Note on Involutions / Atiyah, M. F. -- Combined Bibliography -- Index -- Backmatter |
Record Nr. | UNINA-9910154753803321 |
Kirby Robion C. | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Grassmannians and Gauss maps in piecewise-linear and piecewise-differentiable topology / Norman Levitt |
Autore | Levitt, Norman |
Pubbl/distr/stampa | Berlin : Springer-Verlag, c1989 |
Descrizione fisica | v, 203 p. : ill. ; 24 cm. |
Disciplina | 514.3 |
Collana | Lecture notes in mathematics, 0075-8434 ; 1366 |
Soggetto topico |
Differential topology
Gauss maps Grassmann manifolds Piecewise linear topology |
ISBN | 3540507566 |
Classificazione |
AMS 57Q35
AMS 57R20 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000960759707536 |
Levitt, Norman | ||
Berlin : Springer-Verlag, c1989 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|
Grassmannians and Gauss maps in piecewise-linear topology / / Norman Levitt |
Autore | Levitt N (Norman), <1943-> |
Edizione | [1st ed. 1989.] |
Pubbl/distr/stampa | Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1989] |
Descrizione fisica | 1 online resource (V, 203 p.) |
Disciplina | 514.34 |
Collana | Lecture Notes in Mathematics |
Soggetto topico |
Differential topology
Piecewise linear topology Grassmann manifolds |
ISBN | 3-540-46078-0 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Local formulae for characteristic classes -- Formal links and the PL grassmannian G n,k -- Some variations of the G n,k construction -- The immersion theorem for subcomplexes of G n,k -- Immersions equivariant with respect to orthogonal actions on Rn+k -- Immersions into triangulated manifolds (with R. Mladineo) -- The grassmannian for piecewise smooth immersions -- Some applications to smoothing theory -- Equivariant piecewise differentiable immersions -- Piecewise differentiable immersions into riemannian manifolds. |
Record Nr. | UNISA-996466658103316 |
Levitt N (Norman), <1943-> | ||
Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1989] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
|
Intersection cohomology / A. Borel ... [et al] |
Pubbl/distr/stampa | Boston : Birkhauser, 1984 |
Descrizione fisica | x, 238 p. : ill. ; 23 cm |
Disciplina | 514.2 |
Altri autori (Persone) | Borel, Armand |
Collana | Progress in mathematics [Birkhauser], ISSN 0743-1643; 50 |
Soggetto topico |
Homology theory
Intersection theory Piecewise linear topology Sheaf theory |
ISBN | 0817632743 |
Classificazione |
AMS 14C17
AMS 14F AMS 55N QA612.3.I38 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991001008009707536 |
Boston : Birkhauser, 1984 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|
Introduction to piecewise-linear topology / C. P. Rourke, B. J. Sanderson |
Autore | Rourke, Colin P. |
Pubbl/distr/stampa | Berlin ; New York : Springer-Verlag, 1972 |
Descrizione fisica | viii, 123 p. : illus. ; 24 cm. |
Collana |
Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge ; 69
Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge, 0071-1136 ; 69 = A series of modern surveys in mathematics, 0071-1136 ; 69 |
Soggetto topico |
Differential topology
Manifolds Piecewise linear topology |
ISBN | 3540058001 |
Classificazione | AMS 57Q |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991001026189707536 |
Rourke, Colin P. | ||
Berlin ; New York : Springer-Verlag, 1972 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|
A multiple disjunction lemma for smooth concordance embeddings / / Thomas G. Goodwillie |
Autore | Goodwillie Thomas G (Thomas Gehret), <1954-> |
Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1990 |
Descrizione fisica | 1 online resource (329 p.) |
Disciplina | 514 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Concordances (Topology)
Embeddings (Mathematics) Piecewise linear topology |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-0854-6 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""TABLE OF CONTENTS""; ""ABSTRACT""; ""INTRODUCTION""; ""A. Spaces of Concordances""; ""B. Known Results""; ""C. The Multiple Disjunction Lemma""; ""D. Sketch of the Proof""; ""1. The overall plan""; ""2. A stratification""; ""a. Operation B""; ""b. Operation C°""; ""c. Operation A""; ""d. Operation D""; ""e. Operation C""; ""f. The stratification""; ""3. Why the stratification is a stratification""; ""a. ""Relative semi�algebraicity""""; ""b. The Hilbert variety""; ""4. Keeping track of the ordering""; ""5. Using the stratification""; ""PRELIMINARIES""; ""A. Definitions, etc""
""b. Rangeâ€?invariance""""c. S (Z, P,N)""; ""B. Operations on Sets of Multijets""; ""1. Operation A""; ""2. Operation B""; ""3. Operation C (and C°)""; ""4. Operation D""; ""5. The operations preserve invariance""; ""C. Z""; ""1. Formal facts""; ""2. Codimension""; ""3. Goodness and badness""; ""D. Singular Sets for Fibered Concordances""; ""1. General position with respect to Z""; ""2. Singular sets""; ""a. S[sub(α)](F)""; ""b. W[sub(α)](F)""; ""i. Operation A""; ""ii. Operation D""; ""iii. Operation B""; ""iv. Operation C""; ""c. W[sub(α)] [sup((D,R))](F)""; ""III. PROOF OF THEOREM D"" ""A. Structure of the Proof""""B. Proof of (189)[sub(α)[sub(0)])]""; ""C. (189)[sub(a+1)] â?? (189)[sub(α)]""; ""1. Reduction to Claim 113""; ""2. Proof of Claim 113: beginning""; ""3. Reduction to (206)[sub(0)]""; ""4. Proof of (206)[sub(α)]""; ""5. (206)[sub(β+1)] â?? (206)[sub(β)]""; ""a. Reduction to Claim 117""; ""b. Proof of Claim 117""; ""D. One Last Sunny Collapse""; ""BIBLIOGRAPHY"" |
Record Nr. | UNINA-9910480519103321 |
Goodwillie Thomas G (Thomas Gehret), <1954-> | ||
Providence, Rhode Island, United States : , : American Mathematical Society, , 1990 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|