homeomorphism
isomorphism between topological spaces; continuous bijection with continuous inverse
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homeomorphism
Summary
homeomorphism ranks in the top 2% of general entities by monthly Wikipedia readership (522 views/month).[1]
Key Facts
- homeomorphism's video is recorded as Mug and Torus morph.gif[2].
- homeomorphism's image is recorded as Homeo tasse.png[3].
- homeomorphism's GND ID is recorded as 4352383-3[4].
- homeomorphism's subclass of is recorded as continuous function[5].
- homeomorphism's subclass of is recorded as bijection[6].
- homeomorphism's subclass of is recorded as homotopy equivalence[7].
- homeomorphism's Commons category is recorded as Homeomorphisms[8].
- homeomorphism's Freebase ID is recorded as /m/03k7d[9].
- homeomorphism's topic's main category is recorded as Category:Homeomorphisms[10].
- homeomorphism's Commons gallery is recorded as Homeomorphism[11].
- homeomorphism's described by source is recorded as Great Soviet Encyclopedia (1926–1947)[12].
- homeomorphism's described by source is recorded as Armenian Soviet Encyclopedia, vol. 6[13].
- homeomorphism's Encyclopædia Britannica Online ID is recorded as topic/homeomorphism[14].
- homeomorphism's Encyclopædia Britannica Online ID is recorded as science/topological-equivalence[15].
- homeomorphism's defining formula is recorded as f\in \mathcal C^0(X,Y) \land (\forall y\in Y\exists!x\in X\colon f(x)=y)\land f^{-1}\in\mathcal C^0(Y,X)[16].
- homeomorphism's studied by is recorded as category theory[17].
- homeomorphism's MathWorld ID is recorded as Homeomorphism[18].
- homeomorphism's MathWorld ID is recorded as Homeomorphic[19].
- homeomorphism's Mathematics Subject Classification ID is recorded as 54H20[20].
- homeomorphism's JSTOR topic ID is recorded as homeomorphism[21].
- homeomorphism's nLab ID is recorded as homeomorphism[22].
- homeomorphism's maintained by WikiProject is recorded as WikiProject Mathematics[23].
- homeomorphism's Microsoft Academic ID is recorded as 176406300[24].
- homeomorphism's ProofWiki ID is recorded as Definition:Homeomorphism[25].
- homeomorphism's Online PWN Encyclopedia ID is recorded as 3912475[26].
Why It Matters
homeomorphism ranks in the top 2% of general entities by monthly Wikipedia readership (522 views/month).[1] homeomorphism has Wikipedia articles in 27 language editions, a strong signal of global cultural recognition.[27] homeomorphism is known by 52 alternative names across languages and contexts.[28]