Topology Seminar Wisconsin, 1965. (AM-60), Volume 60 / / R. H. Bing, Ralph J. Bean

• Pubblicazione: Princeton, NJ : , : Princeton University Press, , [2016]; ©1967
• Descrizione fisica: 1 online resource (261 pages) : illustrations
• Disciplina: 513.83
• Soggetto topico: Topology
• Soggetto non controllato: Abstract algebra; Branch point; Cantor set; Cartesian coordinate system; Cartesian product; Characteristic class; Characterization (mathematics); Cohomology; Commutator subgroup; Compactification (mathematics); Complete metric space; Conjecture; Connected space; Continuous function (set theory); Continuum hypothesis; Countable set; Cube; Cyclic group; Degeneracy (mathematics); Dehn's lemma; Diagram (category theory); Dimension theory (algebra); Dimension; Discrete group; Disk (mathematics); Embedding; Epimorphism; Equilateral triangle; Equivalence class; Equivalence relation; Euclidean space; Existential quantification; Fiber bundle; First-countable space; Fixed-point property; Function (mathematics); Fundamental group; Graph (discrete mathematics); Graph of a function; Grassmannian; H-cobordism; Hausdorff distance; Homeomorphism; Homotopy group; Homotopy; Hypercube; Hyperplane; Inclusion map; Inner automorphism; Intersection (set theory); Interval (mathematics); Inverse limit; Jordan curve theorem; K-cell (mathematics); Knot theory; Lexicographical order; Limit ordinal; Limit point; Line (geometry); Linear extension; Loop theorem; Mathematical induction; Mean value theorem; Metric space; Metrization theorem; Module (mathematics); Moore space; N-connected; N-sphere; Natural number; Neighbourhood (mathematics); Non-Euclidean geometry; Normal subgroup; Open set; Order topology; Orthogonal group; P-adic number; Poincaré conjecture; Polyhedron; Projection (linear algebra); Projection (mathematics); Projective line; Rectangle; Scientific notation; Semi-locally simply connected; Sign (mathematics); Simply connected space; Special case; Sphere theorem (3-manifolds); Submanifold; Subset; Summation; Tangent space; Theorem; Topological graph; Topological space; Two-dimensional space; Ultrafilter; Unit interval; Upper half-plane
• Persona (resp. second.): BeanRalph J.; BingR. H.
• Nota di contenuto: Frontmatter -- CONTENTS -- PREFACE -- CHAPTER I: 3 -MANIFOLDS -- MONOTONE DECOMPOSITIONS OF E3 / Armentrout, Steve -- EQUIVALENT DECOMPOSITIONS OF E3 / Armentrout, Steve / Lininger, Lloyd L. / Meyer, Donald V. -- ANOTHER DECOMPOSITION OP E3 INTO POINTS AND INTERVALS / McAuley, Louis F. -- CRUMPLED CUBES / Lininger, L. -- SEWINGS OF CRUMPLED CUBES WHICH DO NOT YIELD S3 / Martin, Joseph -- CANONICAL NEIGHBORHOODS IN THREE-MANIFOLDS / McMillan, D. R. -- BOUNDARY LINKS / Smythe, N. -- SURFACES IN E3 / Burgess, C. E. -- ADDITIONAL QUESTIONS ON 3-MANIFOLDS -- CHAPTER II: THE POINCARÉ CONJECTURE -- HOW NOT TO PROVE THE POINCARÉ CONJECTURE / Stallings, John -- MAPPING A 3 -SPHERE ONTO A HOMOTOPY 3 -SPHERE / Bing, R. H. -- CONCERNING FAKE CUBES / Connor, A. C. -- CHAPTER III -- ON CERTAIN FIRST COUNTABLE SPACES / Heath, R. W. -- REMARKS ON THE NORMAL MOORE SPACE METRIZATION PROBLEM / Jones, P. Burton -- TWO CONJECTURES IN POINT SET THEORY / Younglove, J. N. -- ALMOST CONTINUOUS FUNCTIONS AND FUNCTIONS OF BAIRE CLASS 1 / Thomas, E. S. -- CHAINABLE CONTINUA / Fugate, J. B. -- THE EXISTENCE OP A COMPLETE METRIC FOR A SPECIAL MAPPING SPACE AND SOME CONSEQUENCES / McAuley, Louis F. -- FINITE DIMENSIONAL SUBSETS OF INFINITE DIMENSIONAL SPACES / Henderson, David W. -- TYPES OF ULTRAFILTERS / Rudin, Mary Ellen -- ADDITIONAL QUESTIONS ON ABSTRACT SPACES -- CHAPTER IV: N-MANIFOLDS -- TAMING POLYHEDRA IN THE TRIVIAL RANGE / Bryant, John L. -- SOME NICE EMBEDDINGS IN THE TRIVIAL RANGE / Dancis, Jerome -- APPROXIMATIONS AND ISOTOPIES IN THE TRIVIAL RANGE / Dancis, Jerome -- ON A SPHERICAL EMBEDDINGS OF 2 -SPHERES IN THE 4-SPHERE / Giffen, Charles H. -- GEOMETRIC CHARACTERIZATION OP DIFFERENTIABLE MANIFOLDS IN EUCLIDEAN SPACE / Gluck, Herman -- WHITEHEAD TORSION AND h-COBORDISM / Szczarba, R. H. -- ADDITIONAL QUESTIONS ON N-MANIFOLDS -- COMPLETELY REGULAR MAPPINGS, FIBER SPACES, THE WEAK BUNDLE PROPERTIES, AND THE GENERALIZED SLICING STRUCTURE PROPERTIES / McAuley, Louis F. -- FIBER SPACES AND n-REGULARITY / McAuley, L. F. / Tulley, P. A. -- FIBER SPACES WIT H TOTALLY PATHWISE DISCONNECTED FIBERS / Ungar, Gerald S. -- SOME QUESTIONS IN THE THEORY OP NORMAL FIBER SPACES FOR TOPOLOGICAL MANIFOLDS / Fadell, E.
• Sommario/riassunto: During the summer of 1965, an informal seminar in geometric topology was held at the University of Wisconsin under the direction of Professor Bing. Twenty-five of these lectures are included in this study, among them Professor Bing's lecture describing the recent attacks of Haken and Poincaré on the Poincaré conjectures, and sketching a proof of Haken's main result.
• Titolo autorizzato: Topology Seminar Wisconsin, 1965. (AM-60), Volume 60
• ISBN: 1-4008-8207-9
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910154742403321
• Lo trovi qui: Univ. Federico II
• Serie: Annals of mathematics studies ; ; no. 60.