A Homotopy Theory for Maps Having Strongly Convexly Totally Bounded Ranges in Topological Vector Spaces

O’Regan, Donal

doi:10.2478/auom-2024-0022

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A Homotopy Theory for Maps Having Strongly Convexly Totally Bounded Ranges in Topological Vector Spaces

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 32 (2024): Issue 2 (June 2024)

By: Donal O’Regan

Open Access

|Jul 2024

Abstract

This paper presents Leray–Schauder alternatives and a topological transversality (homotopy) theorem for compact upper semicontinuos maps having (strongly) convexly totally bounded ranges.

References

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DOI: https://doi.org/10.2478/auom-2024-0022 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 117 - 125

Submitted on: May 23, 2022

Accepted on: May 15, 2023

Published on: Jul 10, 2024

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

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© 2024 Donal O’Regan, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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