- {\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...
- operation.
Homeomorphism groups are very
important in the
theory of
topological spaces and in
general are
examples of
automorphism groups.
Homeomorphism groups...
- X×YY′→Y′{\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,...
-
hardness of the
subgraph homeomorphism problem, see e.g. LaPaugh,
Andrea S.; Rivest,
Ronald L. (1980), "The
subgraph homeomorphism problem",
Journal of Computer...
-
closely related to the
stable homeomorphism conjecture (now proved)
which states that
every orientation-preserving
homeomorphism of
Euclidean space is stable...
- In mathematics, the y-
homeomorphism, or
crosscap slide, is a
special type of auto-
homeomorphism in non-orientable surfaces. It can be
constructed by sliding...
- the
mathematical field of
topology a
uniform isomorphism or
uniform homeomorphism is a
special isomorphism between uniform spaces that
respects uniform...
- 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...
-
properties these problems do rely on. From this need
arises the
notion of
homeomorphism. The
impossibility of
crossing each
bridge just once
applies to any...