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strongly pointwise self-homeomorphic

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