Reasonable topologies for homeomorphism groups

Mostert, Paul S.

doi:10.1090/S0002-9939-1961-0130681-7

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

Reasonable topologies for homeomorphism groups
HTML articles powered by AMS MathViewer

by Paul S. Mostert

Proc. Amer. Math. Soc. 12 (1961), 598-602

DOI: https://doi.org/10.1090/S0002-9939-1961-0130681-7

PDF | Request permission

References

Richard Arens, Topologies for homeomorphism groups, Amer. J. Math. 68 (1946), 593–610. MR 19916, DOI 10.2307/2371787
Gordon M. Fisher, On the group of all homeomorphisms of a manifold, Trans. Amer. Math. Soc. 97 (1960), 193–212. MR 117712, DOI 10.1090/S0002-9947-1960-0117712-9
Lester R. Ford Jr., Homeomorphism groups and coset spaces, Trans. Amer. Math. Soc. 77 (1954), 490–497. MR 66636, DOI 10.1090/S0002-9947-1954-0066636-1
Pierre Samuel, Ultrafilters and compactification of uniform spaces, Trans. Amer. Math. Soc. 64 (1948), 100–132. MR 25717, DOI 10.1090/S0002-9947-1948-0025717-6