You are not currently logged in.
Access JSTOR through your library or other institution:
If You Use a Screen ReaderThis content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Strong Local Homogeneity and Coset Spaces
Jan van Mill
Proceedings of the American Mathematical Society
Vol. 133, No. 8 (Aug., 2005), pp. 2243-2249
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/4097864
Page Count: 7
You can always find the topics here!Topics: Homeomorphism, Compactification, Topological theorems, Topology, Topological compactness, Mathematical theorems, Separable spaces, Mathematical transitivity
Were these topics helpful?See somethings inaccurate? Let us know!
Select the topics that are inaccurate.
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Preview not available
We prove that for every homogeneous and strongly locally homogeneous separable metrizable space X there is a metrizable compactification γX of X such that, among other things, for all x, y ∈ X there is a homeomorphism f: γX → γX such that f(x) = y. This implies that X is a coset space of some separable metrizable topological group G.
Proceedings of the American Mathematical Society © 2005 American Mathematical Society