Abstract

Finite and countable topological spaces are investigated which are homogeneous, homogeneous with respect to open mappings or with respect to continuous ones. It is shown that for finite spaces all three concepts of homogeneity coincide, while for countable or for uncountable ones they are distinct. Some characterization of countable spaces that are homogeneous in either sense are found for the metric setting.

Department(s)

Mathematics and Statistics

Keywords and Phrases

continuous mapping; countable; finite; homogeneous; metric space; open mapping; regular space

International Standard Serial Number (ISSN)

0035-7596

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 1988 Rocky Mountain Mathematics Consortium, All rights reserved.

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