Enveloping action: Convergence spaces-Reference-Cited by-同舟云学术

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Enveloping action: Convergence spaces

Published:2022-12-01 Issue:6 Volume:72 Page:1647-1657
ISSN:0139-9918
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Losert Bernd¹,Richardson Gary²

Affiliation:

1. Katharina-Boll-Dornberger-Straße 16 , 12489 , Berlin , Germany

2. Department of Mathematics , University of Central Florida , Orlando , FL 32816 , USA

Abstract

Abstract Given a partial action, an enveloping action in the context of convergence spaces is studied. Whenever the enveloping action space is not Hausdorff (T 3), a related enveloping action on a Hausdorff (T 3) space is developed. Invariance of quotient (proper, open) maps to the related space is also discussed.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2022-0114/pdf

Reference14 articles.

1. Abadie, F.: Enveloping actions and Takai duality for partial actions, J. Funct. Anal. 197(1) (2003), 14–67.

2. Adámek, J.—Herrlich, H.—Strecker, G. E.: Abstract and Concrete Categories. The Joy of Cats, Wiley, New York, 1990.

3. Adu, N.—Mikusiński, P.—Richardson, G.: Partial actions on convergence spaces, Math. Slovaca 72(4) (2022), 1001–1016.

4. Boustique, H.—Mikusiński, P.—Richardson, G.: Convergence semigroup actions: generalized quotients, Appl. Gen. Topol. 10(2) (2009), 173–186.

5. Boustique, H.—Mikusiński, P.—Richardson, G.: Convergence semigroup categories, Appl. Gen. Topol. 11(2) (2013).

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