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From homogeneity to discrete homogeneity

Name: From homogeneity to discrete homogeneity
Keywords: General Topology (math.GN), FOS: Mathematics, Primary 54H15, Secondary 54C20, 54F45, 54H11, Mathematics - General Topology

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2024Embargo end date: 01 Jan 2024Publisher:arXiv

Authors: Chatyrko, Vitalij A.; Karassev, Alexandre;

doi: 10.48550/arxiv.2407.11815

arXiv: http://arxiv.org/abs/2407.11815

From homogeneity to discrete homogeneity

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Abstract

This is a survey of recent and classical results concerning various types of homogeneity, such as n-homogeneity, discrete homogeneity, and countable dense homogeneity. Some new results are also presented, and several problems are posed.

arXiv admin note: text overlap with arXiv:2208.00506

Keywords

General Topology (math.GN), FOS: Mathematics, Primary 54H15, Secondary 54C20, 54F45, 54H11, Mathematics - General Topology

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