homeomorphism

Noun

Meaning

(topology) a continuous bijection from one topological space to another, with continuous inverse.

(chemistry) a similarity in the crystal structure of unrelated compounds

Synonyms

Phrases with the word

Examples

A homeomorphism is a bijection that is continuous and whose inverse is also continuous. Source: Internet

An equivalent form of the conjecture involves a coarser form of equivalence than homeomorphism called homotopy equivalence : if a 3-manifold is homotopy equivalent to the 3-sphere, then it is necessarily homeomorphic to it. Source: Internet

An introductory exercise is to classify the uppercase letters of the English alphabet according to homeomorphism and homotopy equivalence. Source: Internet

An embedding, or a smooth embedding, is defined to be an injective immersion which is an embedding in the topological sense mentioned above (i.e. homeomorphism onto its image). Source: Internet

A self-homeomorphism is a homeomorphism of a topological space and itself. Source: Internet

Homotopy equivalence is a rougher relationship than homeomorphism; a homotopy equivalence class can contain several homeomorphism classes. Source: Internet

Close letter words and terms