Topology Seminar Wisconsin, 1965

Topology Seminar Wisconsin, 1965

ISBN-10:
0691080569
ISBN-13:
9780691080567
Pub. Date:
11/21/1966
Publisher:
Princeton University Press
ISBN-10:
0691080569
ISBN-13:
9780691080567
Pub. Date:
11/21/1966
Publisher:
Princeton University Press
Topology Seminar Wisconsin, 1965

Topology Seminar Wisconsin, 1965

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Overview

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.


Product Details

ISBN-13: 9780691080567
Publisher: Princeton University Press
Publication date: 11/21/1966
Series: Annals of Mathematics Studies , #60
Pages: 256
Product dimensions: 6.00(w) x 9.00(h) x (d)

Table of Contents

  • Frontmatter, pg. i
  • CONTENTS, pg. vii
  • PREFACE, pg. ix
  • MONOTONE DECOMPOSITIONS OF E3, pg. 1
  • EQUIVALENT DECOMPOSITIONS OF E3, pg. 27
  • ANOTHER DECOMPOSITION OP E3 INTO POINTS AND INTERVALS, pg. 33
  • CRUMPLED CUBES, pg. 53
  • SEWINGS OF CRUMPLED CUBES WHICH DO NOT YIELD S3, pg. 57
  • CANONICAL NEIGHBORHOODS IN THREE-MANIFOLDS, pg. 61
  • BOUNDARY LINKS, pg. 69
  • SURFACES IN E3, pg. 73
  • ADDITIONAL QUESTIONS ON 3-MANIFOLDS, pg. 81
  • HOW NOT TO PROVE THE POINCARÉ CONJECTURE, pg. 83
  • MAPPING A 3 -SPHERE ONTO A HOMOTOPY 3 -SPHERE, pg. 89
  • CONCERNING FAKE CUBES, pg. 101
  • ON CERTAIN FIRST COUNTABLE SPACES, pg. 103
  • REMARKS ON THE NORMAL MOORE SPACE METRIZATION PROBLEM, pg. 115
  • TWO CONJECTURES IN POINT SET THEORY, pg. 121
  • ALMOST CONTINUOUS FUNCTIONS AND FUNCTIONS OF BAIRE CLASS 1, pg. 125
  • CHAINABLE CONTINUA, pg. 129
  • THE EXISTENCE OP A COMPLETE METRIC FOR A SPECIAL MAPPING SPACE AND SOME CONSEQUENCES, pg. 135
  • FINITE DIMENSIONAL SUBSETS OF INFINITE DIMENSIONAL SPACES, pg. 141
  • TYPES OF ULTRAFILTERS, pg. 147
  • ADDITIONAL QUESTIONS ON ABSTRACT SPACES, pg. 152
  • TAMING POLYHEDRA IN THE TRIVIAL RANGE, pg. 153
  • SOME NICE EMBEDDINGS IN THE TRIVIAL RANGE, pg. 159
  • APPROXIMATIONS AND ISOTOPIES IN THE TRIVIAL RANGE, pg. 171
  • ON A SPHERICAL EMBEDDINGS OF 2 -SPHERES IN THE 4-SPHERE, pg. 189
  • GEOMETRIC CHARACTERIZATION OP DIFFERENTIABLE MANIFOLDS IN EUCLIDEAN SPACE, pg. 197
  • WHITEHEAD TORSION AND h-COBORDISM, pg. 211
  • ADDITIONAL QUESTIONS ON N-MANIFOLDS, pg. 217
  • COMPLETELY REGULAR MAPPINGS, FIBER SPACES, THE WEAK BUNDLE PROPERTIES, AND THE GENERALIZED SLICING STRUCTURE PROPERTIES, pg. 219
  • FIBER SPACES AND n-REGULARITY, pg. 229
  • FIBER SPACES WIT H TOTALLY PATHWISE DISCONNECTED FIBERS, pg. 235
  • SOME QUESTIONS IN THE THEORY OP NORMAL FIBER SPACES FOR TOPOLOGICAL MANIFOLDS, pg. 241



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