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

Donal O’Regan
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Donal O’Regan: School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, H91 TK33 Galway, Ireland

Mathematics, 2020, vol. 8, issue 3, 1-6

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: weakly upper semicontinuous; essential maps; homotopy (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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