Definition of Homeomorphic. Meaning of Homeomorphic. Synonyms of Homeomorphic

- 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...
- manifold which is closed, connected, and has trivial fundamental group is homeomorphic to the three-dimensional sphere. Familiar shapes, such as the surface...
- 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...
- 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...
- 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)...
- Invariance of domain is a theorem in topology about homeomorphic subsets of Euclidean space R n {\displaystyle \mathbb {R} ^{n}} . It states: If U {\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...
- single equivalence class. Then I 2 / ∼ {\displaystyle I^{2}/\sim } is homeomorphic to the sphere S 2 . {\displaystyle S^{2}.} Adjunction space. More generally...