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A topological space *X* is
called * strongly pointwise self-homeomorphic at a point*
if for any neighborhood *U* of *x* there is a
neighborhood *V* of *x* such that
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.

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

*2001-02-21*