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
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
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.