Zero-Dimensional Spaces Homeomorphic to their Cartesian Squares
Abstract
We show that there exists uncountably many zero-dimensional compact metric spaces homeomorphic to their cartesian squares as well as their n-fold symmetric products.
Recommended Citation
W. J. Charatonik and S. Sahan, "Zero-Dimensional Spaces Homeomorphic to their Cartesian Squares," Houston Journal of Mathematics, vol. 45, no. 2, pp. 601 - 608, University of Houston, Jan 2019.
Department(s)
Mathematics and Statistics
Keywords and Phrases
Cantor-bendixson rank; Cartesian squares; Zero-dimensional spaces
International Standard Serial Number (ISSN)
0362-1588
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 University of Houston, All rights reserved.
Publication Date
01 Jan 2019