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Additional
homeomorphism
English Wikipedia - The Free Encyclopedia
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Homeomorphism
In the
mathematical
field of
topology
, a
homeomorphism
or
topological isomorphism
or
bi continuous function
is a
continuous function
between
topological spaces
that has a continuous
inverse function
. Homeomorphisms are the
isomorphisms
in the
category of topological spaces
—that is, they are the
mappings
that preserve all the
topological properties
of a given space. Two spaces with a homeomorphism between them are called
homeomorphic
, and from a topological viewpoint they are the same. The word
homeomorphism
comes from the
Greek
words (
homoios
) = similar and (
morphe
) = shape, form.
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