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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.  
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
Felʹshtyn Alexander <1952->  
Providence, Rhode Island : , : American Mathematical Society, , 2000
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
Felʹshtyn Alexander <1952->  
Providence, Rhode Island : , : American Mathematical Society, , 2000
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
Felʹshtyn Alexander <1952->  
Providence, Rhode Island : , : American Mathematical Society, , 2000
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
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
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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
Levitt, Norman  
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
Levitt N (Norman), <1943->  
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
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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
Rourke, Colin P.  
Berlin ; New York : Springer-Verlag, 1972
Materiale a stampa
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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. Range�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
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