-
given space. Two
spaces with a
homeomorphism between them are
called homeomorphic, and from a
topological viewpoint they are the same. Very
roughly speaking...
-
areas of mathematics, a
metrizable space is a
topological space that is
homeomorphic to a
metric space. That is, a
topological space ( X , τ ) {\displaystyle...
- theory, two
graphs G {\displaystyle G} and G ′ {\displaystyle G'} are
homeomorphic if
there is a
graph isomorphism from some
subdivision of G {\displaystyle...
-
manifold which is closed, connected, and has
trivial fundamental group is
homeomorphic to the three-dimensional sphere.
Familiar shapes, such as the surface...
- In the
mathematical field of
topology a
uniform isomorphism or
uniform homeomorphism is a
special isomorphism between uniform spaces that
respects uniform...
- {\displaystyle X} is
locally homeomorphic to Y {\displaystyle Y} if
every point of X {\displaystyle X} has a
neighborhood that is
homeomorphic to an open subset...
-
Whitehead manifold is an open 3-manifold that is contractible, but not
homeomorphic to R 3 . {\displaystyle \mathbb {R} ^{3}.} J. H. C. Whitehead (1935)...
- 3-manifold; the
boundary of XK and the
boundary of the
neighborhood N are
homeomorphic to a two-torus.
Sometimes the
ambient manifold M is
understood to be...
-
topological space with the
property that each
point has a
neighborhood that is
homeomorphic to an open
subset of n {\displaystyle n} -dimensional
Euclidean space...
-
Given a
simplicial complex, the
problem is to
decide whether it is
homeomorphic to
another fixed simplicial complex. The
problem is
undecidable for complexes...
