homoeomorphism Synonyms
No Synonyms and anytonyms found
homoeomorphism Meaning
Webster
homoeomorphism (n.)
A near similarity of crystalline forms between unlike chemical compounds. See Isomorphism.
homoeomorphism Sentence Examples
- The two surfaces are homoeomorphic, meaning they can be continuously deformed into one another without cutting or gluing.
- The homeomorphism between the circle and the interval [0, 1] preserves the distance between points.
- The function f: X → Y is a homoeomorphism if it is bijective, continuous, and has a continuous inverse.
- The topology of a space is determined by its homoeomorphism classes.
- The group of homoeomorphisms of a space forms a topological group.
- The topology of the real line is characterized by the fact that it admits no non-trivial homoeomorphisms.
- The homoeomorphism between the sphere and the plane is known as stereographic projection.
- The homoeomorphism theorem states that every two compact, connected, orientable surfaces of the same genus are homoeomorphic.
- In algebraic topology, homology groups are defined as homoeomorphism invariants.
- The study of homoeomorphisms is a fundamental aspect of modern mathematics, particularly in topology, geometry, and analysis.
FAQs About the word homoeomorphism
A near similarity of crystalline forms between unlike chemical compounds. See Isomorphism.
No synonyms found.
No antonyms found.
The two surfaces are homoeomorphic, meaning they can be continuously deformed into one another without cutting or gluing.
The homeomorphism between the circle and the interval [0, 1] preserves the distance between points.
The function f: X → Y is a homoeomorphism if it is bijective, continuous, and has a continuous inverse.
The topology of a space is determined by its homoeomorphism classes.
