Definition of Homeomorphic. Meaning of Homeomorphic. Synonyms of Homeomorphic

Here you will find one or more explanations in English for the word Homeomorphic. Also in the bottom left of the page several parts of wikipedia pages related to the word Homeomorphic and, of course, Homeomorphic synonyms and on the right images related to the word Homeomorphic.

Definition of Homeomorphic

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Meaning of Homeomorphic from wikipedia

- 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....