A note on the topological transversality theorem for weakly upper semicontinuous, weakly compact maps on locally convex topological vector spaces

Donal O'Regan

doi:10.3390/math8030304

A note on the topological transversality theorem for weakly upper semicontinuous, weakly compact maps on locally convex topological vector spaces

Donal O'Regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

Abstract

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.

Original language	English
Article number	304
Journal	Mathematics
Volume	8
Issue number	3
DOIs	https://doi.org/10.3390/math8030304
Publication status	Published - 1 Mar 2020

Keywords

Essential maps
Homotopy
Weakly upper semicontinuous

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10.3390/math8030304

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abstract = "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.",

keywords = "Essential maps, Homotopy, Weakly upper semicontinuous",

author = "Donal O'Regan",

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KW - Homotopy

KW - Weakly upper semicontinuous

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A note on the topological transversality theorem for weakly upper semicontinuous, weakly compact maps on locally convex topological vector spaces

Abstract

Keywords

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