On the existence of totally inhomogeneous spaces
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- by Brian M. Scott PDF
- Proc. Amer. Math. Soc. 51 (1975), 489-493 Request permission
Abstract:
A property of total inhomogeneity for topological spaces is defined and is shown to be stronger than that of rigidity (i.e., of having trivial autohomeomorphism group). It is further shown that compact, rigid, Hausdorff spaces are totally inhomogeneous, and that totally inhomogeneous spaces exist in profusion as dense subspaces of a class of locally compact spaces.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 51 (1975), 489-493
- MSC: Primary 54F50
- DOI: https://doi.org/10.1090/S0002-9939-1975-0375262-5
- MathSciNet review: 0375262