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A topological space is
called *strongly pointwise self-homeomorphic at a point*
if for any neighborhood of there is a
neighborhood of such that
and is homeomorphic to . The space is
called
*strongly pointwise self-homeomorphic*
if it is strongly pointwise self-homeomorphic at each of its
points.

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*Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih*

*2001-11-30*