On (Strongly) (Θ-)Discrete Homogeneous Spaces-Reference-Cited by-同舟云学术

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On (Strongly) (Θ-)Discrete Homogeneous Spaces

Published:2023-12-01 Issue:6 Volume:73 Page:1587-1596
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Chatyrko Vitalij A.¹,Karassev Alexandre²

Affiliation:

1. * Department of Mathematics, Linkoping University , Linkoping , SWEDEN

2. ** Department of Computer Science and Mathematics, Nipissing University , 100 College Drive, P.O. Box 5002 , North Bay , Ontario , , CANADA

Abstract

ABSTRACT We introduce the classes of (strongly) Θ-discrete homogeneous spaces. We discuss the relationships of these classes to other classes of spaces possessing homogeneity-related properties, such as (strongly) n-homogeneous spaces. Many examples are given distinguishing discrete homogeneity and other types of homogeneity.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2023-0115/pdf

Reference19 articles.

1. Alexandroff, P.—Urysohn, P.: Uber nulldimensionalle Punktmengen, Math. Ann. 98 (1928), 89-106.

2. Alexandroff, P.—Urysohn, P.: Mémoire sur les Espaces Topologiques Compacts, Verh. Kon. Akad. Wetensch. 14, Amsterdam, 1929.

3. Anderson, R. D.: A characterization of the universal curve and a proof of its homogeneity, Ann. of Math. (2) 67 (1958), 313–324.

4. Anderson, R. D.: On topological infinite deficiency, Michigan Math. J. 14 (1967), 365–383.

5. Bales, J. W.: Representable and strongly locally homogeneous spaces and strongly n-homogeneous spaces, Houston J. Math. 2(3) (1976), 315–327.

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