Advertisement
Advertisement
homeomorphism
[ hoh-mee-uh-mawr-fiz-uhm ]
noun
- similarity in crystalline form but not necessarily in chemical composition.
- Mathematics. a function between two topological spaces that is continuous, one-to-one, and onto, and the inverse of which is continuous.
homeomorphism
/ ˌəʊɪəˈɔːɪə /
noun
- the property, shown by certain chemical compounds, of having the same crystal form but different chemical composition
- maths a one-to-one correspondence, continuous in both directions, between the points of two geometric figures or between two topological spaces
homeomorphism
/ ōŧ-ə-ô′ĭ′əm /
- A close similarity in the crystal forms of unlike compounds.
- A one-to-one correspondence between the points of two geometric figures such that open sets in the first geometric figure correspond to open sets in the second figure and conversely. If one figure can be transformed into another without tearing or folding, there exists a homeomorphism between them. Topological properties are defined on the basis of homeomorphisms.
Discover More
Derived Forms
- ˌdzˈǰ, adjective
Discover More
Other 51Թ Forms
- m··ǰp m··ǰpdzܲ adjective
Discover More
51Թ History and Origins
Origin of homeomorphism1
First recorded in 1850–55; homeomorph + -ism
Discover More
Example Sentences
Examples have not been reviewed.
Homeomorphism is one version of equivalence.
From
We can see that these spaces don’t have this stronger ambient homeomorphism by looking at what happens around them.
From
This is called ambient homeomorphism.
From
We could request this continuous function from one mathematical object to another with a continuous inverse also be a homeomorphism of the ambient space around the two objects, which basically mean it doesn't just have to be nice to the mathematical object but to the entire universe the object lives in.
From
Advertisement
Advertisement
Advertisement
Advertisement
Browse