e/H-space

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has glosseng: In mathematics, an H-space is a topological space X (generally assumed to be connected) together with a continuous map μ : X × X → X with an identity element e so that μ(e, x) = μ(x, e) = x for all x in X. Alternatively, the maps μ(e, x) and μ(x, e) are sometimes only required to be homotopic to the identity (in this case e is called homotopy identity), sometimes through basepoint preserving maps. These three definitions are in fact equivalent for H-spaces that are CW complexes. Every topological group is an H-space; however, in the general case, as compared to a topological group, H-spaces may lack associativity and inverses.
lexicalizationeng: H space
lexicalizationeng: H-space
instance ofc/Properties of topological spaces
Meaning
German
has glossdeu: In der Topologie besteht ein H-Raum aus einem topologischen Raum X (oft als zusammenhängend vorausgesetzt) und einer stetigen Abbildung \mu\colon X\times X\to X mit einer Einheit e\in X in dem Sinne, dass die Endomorphismen
lexicalizationdeu: H-Raum
Portuguese
has glosspor: Em matemática, um H-espaço é um espaço topológico X (geralmente suposto conexo) juntamente com uma aplicação contínua μ : X × X → X com um elemento identidade e de modo que μ(e, x) = μ(x, e) = x para todo x em X.
lexicalizationpor: H-espaço

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