Definition of Homeomorphism. Meaning of Homeomorphism. Synonyms of Homeomorphism

- {\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...
- closely related to the stable homeomorphism conjecture (now proved) which states that every orientation-preserving homeomorphism of Euclidean space is stable...
- {\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,...
- 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...
- ****umed to act as homeomorphisms on X. The structure of a G-space is a group homomorphism ρ : G → Homeo(X) into the homeomorphism group of X. Similarly...
- there exists a homeomorphism h : E → E ′ {\displaystyle h:E\rightarrow E'} , such that the diagram commutes. If such a homeomorphism exists, then one...
- 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...
- interior. The three homeomorphisms yield a single homeomorphism of the boundary of the triangle. By the Alexander trick this homeomorphism can be extended...