Symposium on Infinite Dimensional Topology. (AM-69) ( Annals of Mathematics Studies )

Publication series :Annals of Mathematics Studies

Author: Anderson R. D.  

Publisher: Princeton University Press‎

Publication year: 2016

E-ISBN: 9781400881406

P-ISBN(Paperback): 9780691080871

Subject: O189 topology (geometry of situation)

Keyword: 拓扑(形势几何学),数学

Language: ENG

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Description

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.

Chapter

A Remark on Banach Analytic Spaces

Fibring Spaces of Maps

An Approximate Morse-Sard Theorem

Morse Theory for Closed Curves

Covering Properties of Convex Sets and Fixed Point Theorems in Topological Vector Spaces

On the Cohomology Theory in Linear Normed Spaces

Analyse de la Technique de Nash-Moser

Generalizing the Hopf-Lefschetz Fixed Point Theorem for Non-Compact ANR-S

Some Questions in the Dimension Theory of Infinite Dimensional Spaces

On the Continuity of Best Approximation Operators

Some Self-Dual Properties of Normed Linear Spaces

Asymptotic Fixed Point Theory

On the Relationship of Local to Global Fixed-Point Indexes

C^1 -Equivalence of Functions Near Isolated Critical Points

Fixed Point Index and Lefschetz Number

Weakly Compact Sets – Their Topological Properties and the Banach Spaces They Generate

On Continuity and Approximation Questions Concerning Critical Morse Groups in Hilbert Space

On Homeomorphisms of Certain Infinite Dimensional Spaces

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