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Homeomorphism

In mathematics and more specifically in topology, a homeomorphism (from Greek roots meaning "similar shape", named by Henri Poincaré), also called topological isomorphism, or bicontinuous function, is a bijective and continuous function between topological spaces that has a continuous inverse function. Homeomorphisms are the isomorphisms in the category…

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Homeomorphism

Nodes70
Edges69
Triples34
Avg. degree1.97
Density0.028571
Components1

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Homeomorphism

Top relations

see also · 12
Homeomorphism → Continuous, Distance-preserving, Graphs, Group, Homotopy, Isomorphism, Isotopy, Local, Mathematical, Term, Theorem, Uniformly
related to Examples · 6
Homeomorphism → Also, An, Euclidean, If, In, The
related to Properties · 6
Homeomorphism → Alexander's, Every, For, Hausdorff, Note, Two
related to Informal discussion · 5
Homeomorphism → Homotopy, In, It, The, This
related to External links · 3
Homeomorphism → EMS Press, Encyclopedia, Mathematics
is a · 2
Homeomorphism → homeomorphism from a topological space onto itself, isomorphism between uniform spacesIsometric isomorphism

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Important terminology

continuous topological homeomorphic spaces function displaystyle deformation homotopy homeomorphisms textstyle space one two point called also properties circle isotopy -1

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Homeomorphismis ahomeomorphism from a topological space onto itself0.90text
Homeomorphismis aisomorphism between uniform spacesIsometric isomorphism0.90text
Homeomorphismrelated to ExamplesThe0.60section
Homeomorphismrelated to ExamplesIn0.60section
Homeomorphismrelated to ExamplesAn0.60section
Homeomorphismrelated to ExamplesEuclidean0.60section
Homeomorphismrelated to ExamplesIf0.60section
Homeomorphismrelated to ExamplesAlso0.60section
Homeomorphismrelated to External linksEncyclopedia0.60section
Homeomorphismrelated to External linksMathematics0.60section
Homeomorphismrelated to External linksEMS Press0.60section
Homeomorphismrelated to Informal discussionThe0.60section

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