Welcome to Anagrammer Crossword Genius! Keep reading below to see if homeomorphism is an answer to any crossword puzzle or word game (Scrabble, Words With Friends etc). Scroll down to see all the info we have compiled on homeomorphism.
homeomorphism
Searching in Crosswords ...
The answer HOMEOMORPHISM has 0 possible clue(s) in existing crosswords.
Searching in Word Games ...
The word HOMEOMORPHISM is VALID in some board games. Check HOMEOMORPHISM in word games in Scrabble, Words With Friends, see scores, anagrams etc.
Searching in Dictionaries ...
Definitions of homeomorphism in various dictionaries:
A close similarity in the crystal forms of unlike compounds.
A one-to-one correspondence between the points of two geometric figures that is continuous in both directions.
HOMEOMORPHISM - In the mathematical field of topology, a homeomorphism or topological isomorphism or bi continuous function is a continuous function between topologi...
Word Research / Anagrams and more ...
Keep reading for additional results and analysis below.
Possible Dictionary Clues |
---|
An instance of topological equivalence. |
Chemistry A close similarity in the crystal forms of unlike compounds. |
Mathematics A continuous bijection between two figures whose inverse is also continuous. |
Homeomorphism description |
---|
In the mathematical field of topology, a homeomorphism or topological isomorphism or bi continuous function is a continuous function between topological spaces that has a continuous inverse function. Homeomorphisms are the isomorphisms in the category of topological spacesthat is, they are the mappings that preserve all the topological properties of a given space. Two spaces with a homeomorphism between them are called homeomorphic, and from a topological viewpoint they are the same. The word homeomorphism comes from the Greek words (homoios) = similar or same and (morph) = shape, form, introduced to mathematics by Henri Poincaré in 1895.Very roughly speaking, a topological space is a geometric object, and the homeomorphism is a continuous stretching and bending of the object into a new shape. Thus, a square and a circle are homeomorphic to each other, but a sphere and a torus are not. However, this description can be misleading. Some continuous deformations are not homeomorphisms, s |