Covering properties on H-spaces and applications |
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| Authors: | Ding Xie-ping Tan Kok-keong |
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| Affiliation: | 1. Department of Mathematics, Sichuan Normal University, Chengdu;2. Department of Mathematics, Statistics and Computing Science Dalhousie University, Halifax, Nova Scotia, Canada B3H 3J5 |
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| Abstract: | Several theorems on closed (resp. open) covering properties of H-spaces are obtained which improve and generalize the corresponding results of Sperner, Klee, Alexandroff-Pasynkoff, Berge, Ghouila-Houri, Danzer-Grunbaum-Klee, Ky Fan, Shih-Tan, Horvath and Lassonde. As application an almost fixed point theorem for lower semi-continuous map in l.c.-spaces and a generalization of Tychonoffs fixed point theorem are proved in l.c.-spaces which improve those results of Ky Fan and Horvath. |
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| Keywords: | covering property H-space H-convex H-convex hull almost fixed point lower semi-continuous l.c.-space simplex uniform structure topological vector space locally convex space contractible |
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