On (strongly) (Θ-)discrete homogeneous spaces

2022/07/31 by Vitaly Chatyrko, Chatyrko, Vitaly, Alexandre Karassev +1
Decision Sciences · #FOS: Mathematics #Fuzzy and Soft Set Theory #General Topology (math.GN) #Geometric Topology (math.GT)

paper · pdf · doi:10.48550/arxiv.2208.00506

openalex publication_date 2022/07/31 · openalex created_date 2022/08/03 · openalex updated_date 2026/07/28

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.

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