Set-valued mappings, selections and topological properties of 2[x] : proceedings of the conference held at the State University of New York at Buffalo, May 8-10, 1969

Bibliographic Information

Set-valued mappings, selections and topological properties of 2[x] : proceedings of the conference held at the State University of New York at Buffalo, May 8-10, 1969

edited by W. M. Fleischman

(Lecture notes in mathematics, 171)

Springer-Verlag, 1970

  • : Germany
  • : U.S.

Other Title

Set-valued mappings, selections and topological properties of 2x

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Note

Sponsored by the Dept. of Mathematics of the State University of New York at Buffalo

Includes bibliographies

Description and Table of Contents

Table of Contents

Fixed points, index, and degree for some set valued functions.- Topological well-ordering and continuous selections.- Extensions of two fixed point theorems of F. E. Browder.- Properties of the ? topology.- Sequences of contractive set-valued maps.- Algebraic topology and set-valued maps.- Set-valued fixed points theorems for approximative retracts.- Compactness related properties in hyperspaces.- Some problems concerning semi-continuous set-valued mappings.- Concerning open selections.- A survey of continuous selections.- Some comments on the space of subsets.- Some results on multi-valued contraction mappings.- On the Kakutani fixed point theorem and its relationship with the selection problem I.- Lefschetz fixed point theorems for multi-valued maps.- Extreme points of convex sets and selection theorems.- Set-valued mappings on partially ordered spaces.- Factors of subclasses of 2(Im).- Continuous selections on locally compact separable metric spaces.

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