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)

 
 

 

On isomorphic groups and homeomorphic spaces


Author: J. S. Yang
Journal: Proc. Amer. Math. Soc. 43 (1974), 431-438
MSC: Primary 54C35; Secondary 22A05
DOI: https://doi.org/10.1090/S0002-9939-1974-0339060-X
Erratum: Proc. Amer. Math. Soc. 48 (1975), 517.
MathSciNet review: 0339060
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let $C(X,G)$ denote the group of continuous functions from a topological space $X$ into a topological group $G$ with the pointwise multiplication. Some classes of SQ-pairs and properties of the corresponding topological group $C(X,G)$ with the compact-open topology are investigated. We also show that the existence of a group isomorphism between groups $C(X,G)$ and $C(Y,G)$ implies the existence of a homeomorphism between $X$ and $Y$, if $(X,G)$ and $(Y,G)$ are SQ-pairs.


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


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 54C35, 22A05

Retrieve articles in all journals with MSC: 54C35, 22A05


Additional Information

Keywords: Topological group, pointwise multiplication, group, isomorphism, homomorphism, <IMG WIDTH="17" HEIGHT="21" ALIGN="BOTTOM" BORDER="0" SRC="images/img1.gif" ALT="$k$">-space, compact-open topology, jointly continuous
Article copyright: © Copyright 1974 American Mathematical Society