-
given space. Two
spaces with a
homeomorphism between them are
called homeomorphic, and from a
topological viewpoint they are the same. Very
roughly speaking...
-
manifold which is closed, connected, and has
trivial fundamental group is
homeomorphic to the three-dimensional sphere.
Familiar shapes, such as the surface...
-
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...
- {\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...
-
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...
- most
continua in R n , {\displaystyle \mathbb {R} ^{n},} n ≥ 2, are
homeomorphic to the pseudo-arc. In 1920, Bronisław
Knaster and
Kazimierz Kuratowski...
- {\displaystyle \mathbb {R} ^{4}} is a
differentiable manifold that is
homeomorphic (i.e.
shape preserving) but not
diffeomorphic (i.e. non smooth) to the...
- well-quasi-ordered set of
labels is
itself well-quasi-ordered
under homeomorphic embedding. The
theorem was
conjectured by
Andrew Vázsonyi and proved...
- In the
mathematical field of
topology a
uniform isomorphism or
uniform homeomorphism is a
special isomorphism between uniform spaces that
respects uniform...
