Applied Mathematics and Mechanics (English Edition) ›› 1993, Vol. 14 ›› Issue (12): 1079-1088.

• Articles •     Next Articles

COVERING PROPERTIES ON H-SPACES AND APPLICATIONS

Ding Xie-ping1, Tan Kok-keong2   

  1. 1. Department of Mathematics, Sichuan Normal University, Chengdu;
    2. Department of Mathematics, Statistics and Computing Science Dalhousie University, Halifax, Nova Scotia, Canada B3H 3J5
  • Received:1992-05-25 Online:1993-12-18 Published:1993-12-18
  • Supported by:
    This project partially supported by National Natural Science Foundation of China;This work was partially supported by NSERC of Canada under grant A-8096

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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