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Boundedly controlled topology : foundations of algebraic topology and simple homotopy theory / Douglas R. Anderson, Hans J. Munkholm
| 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.
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| Berlin : Springer-Verlag, c1988 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Dynamical zeta functions, Nielsen theory, and Reidemeister torsion / / Alexander Felʹshtyn
| 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 |
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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
| 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 |
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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
| 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 |
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Felʹshtyn Alexander <1952->
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| Providence, Rhode Island : , : American Mathematical Society, , 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88), Volume 88 / / Laurence C. Siebenmann, Robion C. Kirby
| 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 |
| ISBN |
9781400881505
1400881501 |
| 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 |
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Kirby Robion C.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Grassmannians and Gauss maps in piecewise-linear and piecewise-differentiable topology / Norman Levitt
| 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 |
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Levitt, Norman
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| Berlin : Springer-Verlag, c1989 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Grassmannians and Gauss maps in piecewise-linear topology / / Norman Levitt
| 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 |
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Levitt N (Norman), <1943->
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| Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1989] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Intersection cohomology / A. Borel ... [et al]
| 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 | ||
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Introduction to piecewise-linear topology / C. P. Rourke, B. J. Sanderson
| 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 |
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Rourke, Colin P.
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| Berlin ; New York : Springer-Verlag, 1972 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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A multiple disjunction lemma for smooth concordance embeddings / / Thomas G. Goodwillie
| 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 |
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Goodwillie Thomas G (Thomas Gehret), <1954->
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| Providence, Rhode Island, United States : , : American Mathematical Society, , 1990 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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