Description
Book SynopsisDuring 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 Poincare on the Poincare conjectures, and sketching a proof of Haken's main result.
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 POINCARE 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
