Access

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

login

Log in to your personal account or through your institution.

If You Use a Screen Reader

This 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
Stable URL: http://www.jstor.org/stable/4097864
Page Count: 7
  • Read Online (Free)
  • Download ($30.00)
  • Subscribe ($19.50)
  • Cite this Item
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
Preview not available

Abstract

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.

Page Thumbnails

  • Thumbnail: Page 
2243
    2243
  • Thumbnail: Page 
2244
    2244
  • Thumbnail: Page 
2245
    2245
  • Thumbnail: Page 
2246
    2246
  • Thumbnail: Page 
2247
    2247
  • Thumbnail: Page 
2248
    2248
  • Thumbnail: Page 
2249
    2249