UID:
almafu_9958352907102883
Format:
1 online resource (256 p.)
ISBN:
9781400882076
Series Statement:
Annals of Mathematics Studies ; 60
Content:
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.
Note:
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
,
In English.
Language:
English
DOI:
10.1515/9781400882076
URL:
https://doi.org/10.1515/9781400882076
URL:
https://www.degruyter.com/isbn/9781400882076
URL:
https://doi.org/10.1515/9781400882076
URL:
https://www.degruyter.com/isbn/9781400882076
Bookmarklink