Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

There are no uniquely homogeneous spaces


Authors: William Barit and Peter Renaud
Journal: Proc. Amer. Math. Soc. 68 (1978), 385-386
MSC: Primary 54F20; Secondary 22D45, 22D05
DOI: https://doi.org/10.1090/S0002-9939-1978-0464187-5
MathSciNet review: 0464187
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: One could say a continuum is uniquely homogeneous if for each pair of points there is a unique homeomorphism taking the one point to the other. Ungar showed that such spaces are topological groups with no automorphisms. This note shows there are no such nontrivial groups.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 54F20, 22D45, 22D05

Retrieve articles in all journals with MSC: 54F20, 22D45, 22D05


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1978-0464187-5
Article copyright: © Copyright 1978 American Mathematical Society