A Note on the Topological Transversality Theorem for Weakly Upper Semicontinuous, Weakly Compact Maps on Locally Convex Topological Vector Spaces

Mathematics

Donal O’Regan¹ 

[1] School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, H91 TK33 Galway, Ireland;

关键词: weakly upper semicontinuous;    essential maps;    homotopy;   

DOI  :  10.3390/math8030304

来源: DOAJ

【 摘 要 】

A simple theorem is presented that automatically generates the topological transversality theorem and Leray−Schauder alternatives for weakly upper semicontinuous, weakly compact maps. An application is given to illustrate our results.

【 授权许可】

Unknown