Topology Seminar Wisconsin, 1965

by R. H. Bing, Ralph J. Bean

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