-
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...
- any
arrangement of
bridges homeomorphic to
those in Königsberg, and the
hairy ball
theorem applies to any
space homeomorphic to a sphere. Intuitively,...
- a
single equivalence class. Then I2/∼{\displaystyle I^{2}/\sim } is
homeomorphic to the
sphere S2.{\displaystyle S^{2}.}
Adjunction space. More generally...
-
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 (X...
- X{\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 of...
-
graph theory, two
graphs G{\displaystyle G} and G′{\displaystyle G'} are
homeomorphic if
there is a
graph isomorphism from some
subdivision of G{\displaystyle...
- In the
mathematical field of
topology a
uniform isomorphism or
uniform homeomorphism is a
special isomorphism between uniform spaces that
respects uniform...
- well-quasi-ordered set of
labels is
itself well-quasi-ordered
under homeomorphic embedding. The
theorem was
conjectured by
Andrew Vázsonyi and proved...
-
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....