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pointwise self-homeomorphic

A topological space X$ is called pointwise self-homeomorphic at a point x\in X$ if for any neighborhood U$ of x$ there is a set V$ such that x\in V \subseteq U$ and V$ is homeomorphic to X$. The space X$ is called pointwise self-homeomorphic if it is pointwise self-homeomorphic at each of its points.
next up previous contents index
Next: pseudo-arc Up: Definitions Previous: periodic-recurrent property
Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih
2001-11-30