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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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
MitwirkendeR:
HerausgeberIn:
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2016]
©1967
Year of Publication:2016
Language:English
Series:Annals of Mathematics Studies ; 60
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Physical Description:1 online resource (256 p.)
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Table of Contents:
  • 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