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.
Recommended Citation
J. J. Charatonik and W. J. Charatonik, "Generalized Homogeneity of Finite and of Countable Topological Spaces," Rocky Mountain Journal of Mathematics, Rocky Mountain Mathematics Consortium, Jan 1988.
The definitive version is available at https://doi.org/10.1216/RMJ-1988-18-1-195
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.
Publication Date
01 Jan 1988
