Uniform Isomorphism
In the
mathematical
field of
topology
a
uniform isomorphism
or
uniform homeomorphism
is a special
isomorphism
between
uniform spaces
which respects
uniform properties
.
Definition
A
function
f
between two uniform spaces
X
and
Y
is called
uniform isomorphism
if it satisfies the following properties
f
is a
bijection
f
is
uniformly continuous
the
inverse function
f
-
1
is uniformly continuous
See also
homeomorphism
is an isomorphism between
topological spaces
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