Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 20 (2025), 341 -- 354

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This work is licensed under a Creative Commons Attribution 4.0 International License.

LEFSCHETZ FIXED POINT THEOREMS FOR EXTENSION TYPE SPACES WITH RESPECT TO A SELECTION MAP

Donal O'Regan

Abstract. In this paper we present fixed point theorems for a general class of maps defined on extension type spaces with respect to a map.

2020 Mathematics Subject Classification: 47H10; 54H25.
Keywords: fixed points; acyclic maps; extension spaces.

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Donal O'Regan
School of Mathematical and Statistical Sciences,
University of Galway,
Galway, Ireland.
e-mail: donal.oregan@nuigalway.ie
orchid: https://orcid.org/0000-0002-4096-1469

https://www.utgjiu.ro/math/sma