The Topological Transversality Theorem for Multivalued Maps with Continuous Selections

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

Mathematics, 2019, vol. 7, issue 11, 1-6

Abstract: This paper considers a topological transversality theorem for multivalued maps with continuous, compact selections. Basically, this says, if we have two maps F and G with continuous compact selections and F ≅ G , then one map being essential guarantees the essentiality of the other map.

Keywords: essential maps; homotopy; selections (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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