Topology Seminar Wisconsin, 1965. (AM-60), Volume 60 / / ed. by R. H. Bing, Ralph J. Bean.
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 o...
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Superior document: | Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
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MitwirkendeR: | |
HerausgeberIn: | |
Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2016] ©1967 |
Year of Publication: | 2016 |
Language: | English |
Series: | Annals of Mathematics Studies ;
60 |
Online Access: | |
Physical Description: | 1 online resource (256 p.) |
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Other title: | Frontmatter -- CONTENTS -- PREFACE -- CHAPTER I: 3 -MANIFOLDS -- MONOTONE DECOMPOSITIONS OF E3 -- EQUIVALENT DECOMPOSITIONS OF E3 -- ANOTHER DECOMPOSITION OP E3 INTO POINTS AND INTERVALS -- CRUMPLED CUBES -- SEWINGS OF CRUMPLED CUBES WHICH DO NOT YIELD S3 -- CANONICAL NEIGHBORHOODS IN THREE-MANIFOLDS -- BOUNDARY LINKS -- SURFACES IN E3 -- ADDITIONAL QUESTIONS ON 3-MANIFOLDS -- CHAPTER II: THE POINCARÉ CONJECTURE -- HOW NOT TO PROVE THE POINCARÉ CONJECTURE -- MAPPING A 3 -SPHERE ONTO A HOMOTOPY 3 -SPHERE -- CONCERNING FAKE CUBES -- CHAPTER III -- ON CERTAIN FIRST COUNTABLE SPACES -- REMARKS ON THE NORMAL MOORE SPACE METRIZATION PROBLEM -- TWO CONJECTURES IN POINT SET THEORY -- ALMOST CONTINUOUS FUNCTIONS AND FUNCTIONS OF BAIRE CLASS 1 -- CHAINABLE CONTINUA -- THE EXISTENCE OP A COMPLETE METRIC FOR A SPECIAL MAPPING SPACE AND SOME CONSEQUENCES -- FINITE DIMENSIONAL SUBSETS OF INFINITE DIMENSIONAL SPACES -- TYPES OF ULTRAFILTERS -- ADDITIONAL QUESTIONS ON ABSTRACT SPACES -- CHAPTER IV: N-MANIFOLDS -- TAMING POLYHEDRA IN THE TRIVIAL RANGE -- SOME NICE EMBEDDINGS IN THE TRIVIAL RANGE -- APPROXIMATIONS AND ISOTOPIES IN THE TRIVIAL RANGE -- ON A SPHERICAL EMBEDDINGS OF 2 -SPHERES IN THE 4-SPHERE -- GEOMETRIC CHARACTERIZATION OP DIFFERENTIABLE MANIFOLDS IN EUCLIDEAN SPACE -- WHITEHEAD TORSION AND h-COBORDISM -- ADDITIONAL QUESTIONS ON N-MANIFOLDS -- COMPLETELY REGULAR MAPPINGS, FIBER SPACES, THE WEAK BUNDLE PROPERTIES, AND THE GENERALIZED SLICING STRUCTURE PROPERTIES -- FIBER SPACES AND n-REGULARITY -- FIBER SPACES WIT H TOTALLY PATHWISE DISCONNECTED FIBERS -- SOME QUESTIONS IN THE THEORY OP NORMAL FIBER SPACES FOR TOPOLOGICAL MANIFOLDS |
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Summary: | 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. |
Format: | Mode of access: Internet via World Wide Web. |
ISBN: | 9781400882076 9783110494914 9783110442496 |
DOI: | 10.1515/9781400882076 |
Access: | restricted access |
Hierarchical level: | Monograph |
Statement of Responsibility: | ed. by R. H. Bing, Ralph J. Bean. |