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A -space is a special type of Hausdorff Space. Consider a point
and a Homeomorphism of an open
Neighborhood
of
onto an Open Set of
. Then a space is a
-space if, for any two such
Neighborhoods
and
, the images of
under the different
Homeomorphisms are Isometric. If
, the
Homeomorphisms need only be conformal (but not necessarily orientation-preserving).
See also Green Space