Definition of Homeomorphism. Meaning of Homeomorphism. Synonyms of Homeomorphism

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

Definition of Homeomorphism

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Meaning of Homeomorphism from wikipedia

- {\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...