Symposium on Infinite Dimensional Topology

by R. D. Anderson

Overview

In essence the proceedings of the 1967 meeting in Baton Rouge, the volume offers significant papers in the topology of infinite dimensional linear spaces, fixed point theory in infinite dimensional spaces, infinite dimensional differential topology, and infinite dimensional pointset topology. Later results of the contributors underscore the basic soundness of this selection, which includes survey and expository papers, as well as reports of continuing research.

Product Details

ISBN-13:	9780691080871
Publisher:	Princeton University Press
Publication date:	03/21/1972
Series:	Annals of Mathematics Studies , #69
Edition description:	REV
Pages:	308
Product dimensions:	6.00(w) x 9.00(h) x (d)

Table of Contents

• Frontmatter, pg. i
• PREFACE, pg. v
• CONTENTS, pg. vii
• TOPOLOGICAL EQUIVALENCE OF NON-SEPARABLE REFLEXIVE BANACH SPACES, pg. 1
• ON TOPOLOGICAL CLASSIFICATION OF NON-SEPARABLE BANACH SPACES, pg. 15
• ON HOMOTOPY PROPERTIES OF COMPACT SUBSETS OF THE HILBERT SPACE, pg. 25
• SOME THIN SETS IN FRÉCHET SPACES, pg. 37
• A REMARK ON BANACH ANALYTIC SPACES, pg. 41
• FIBRING SPACES OF MAPS, pg. 43
• AN APPROXIMATE MORSE-SARD THEOREM, pg. 59
• MORSE THEORY FOR CLOSED CURVES, pg. 63
• COVERING PROPERTIES OF CONVEX SETS AND FIXED POINT THEOREMS IN TOPOLOGICAL VECTOR SPACES, pg. 79
• ON THE COHOMOLOGY THEORY IN LINEAR NORMED SPACES, pg. 93
• ANALYSE DE LA TECHNIQUE DE NASH-MOSER, pg. 107
• GENERALIZING THE HOPF-LEFSCHETZ FIXED POINT THEOREM FOR NON-COMPACT ANR-S, pg. 119
• SOME QUESTIONS IN THE DIMENSION THEORY OF INFINITE DIMENSIONAL SPACES, pg. 131
• ON THE CONTINUITY OF BEST APPROXIMATION OPERATORS, pg. 137
• SOME SELF-DUAL PROPERTIES OF NORMED LINEAR SPACES, pg. 159
• ASYMPTOTIC FIXED POINT THEORY, pg. 177
• ON THE RELATIONSHIP OF LOCAL TO GLOBAL FIXED-POINT INDEXES, pg. 185
• C1-EQUIVALENCE OF FUNCTIONS NEAR ISOLATED CRITICAL POINTS, pg. 199
• FIXED POINT INDEX AND LEFSCHETZ NUMBER, pg. 219
• WEAKLY COMPACT SETS - THEIR TOPOLOGICAL PROPERTIES AND THE BANACH SPACES THEY GENERATE, pg. 235
• ON CONTINUITY AND APPROXIMATION QUESTIONS CONCERNING CRITICAL MORSE GROUPS IN HILBERT SPACE, pg. 275
• ON HOMEOMORPHISMS OF CERTAIN INFINITE DIMENSIONAL SPACES, pg. 297