- {\displaystyle X} and Y {\displaystyle Y} are homeomorphic. A self-
homeomorphism is a
homeomorphism from a
topological space onto itself.
Being "homeomorphic"...
-
homeomorphisms versus homeomorphisms Every homeomorphism is a
local homeomorphism. But a
local homeomorphism is a
homeomorphism if and only if it is bijective...
-
action of the
homeomorphism group of a
space on that space. Let X {\displaystyle X} be a
topological space and
denote the
homeomorphism group of X {\displaystyle...
- demonstrate. If ( X , d ) {\displaystyle (X,d)} is a
metric space, a
homeomorphism f : X → X {\displaystyle f\colon X\to X} is said to be
expansive if...
- the
mathematical field of
topology a
uniform isomorphism or
uniform homeomorphism is a
special isomorphism between uniform spaces that
respects uniform...
- {\displaystyle X\times _{Y}Y'\to Y'} is a
homeomorphism of
topological spaces. A
morphism of
schemes is a
universal homeomorphism if and only if it is integral,...
-
closely related to the
stable homeomorphism conjecture (now proved)
which states that
every orientation-preserving
homeomorphism of
Euclidean space is stable...
-
hardness of the
subgraph homeomorphism problem, see e.g. LaPaugh,
Andrea S.; Rivest,
Ronald L. (1980), "The
subgraph homeomorphism problem",
Journal of Computer...
- that are homotopy-equivalent to a
point are
called contractible. A
homeomorphism is a
special case of a
homotopy equivalence, in
which g ∘ f is equal...
-
there exists a
homeomorphism h : E → E ′ {\displaystyle h:E\rightarrow E'} , such that the
diagram commutes. If such a
homeomorphism exists, then one...
