H-space

Noun

(topology) A topological space X (generally assumed to be connected) together with a continuous map μ : X × X → X with an identity element e such that μ(e, x) = μ(x, e) = x for all x in X.

Japanese Meaning

H-spaceは、位相空間論における概念で、通常連結であると考えられる位相空間Xに、連続写像μ: X×X→Xが定義され、かつ恒等元eが存在して任意のx∈Xに対してμ(e,x)=μ(x,e)=xとなるような構造を持つものです。

What is this buttons?

An H-space is a topological space X equipped with a continuous map μ: X × X → X and an identity element e such that μ(e, x) = μ(x, e) = x for all x in X.

Google Translation / DeepL Translation

連続写像 μ: X × X → X と単位元 e を備え、すべての x ∈ X に対して μ(e, x) = μ(x, e) = x が成り立つような位相空間 X は、連続な二項演算と単位元を備えた位相空間です。

Details

Sense（1）

(topology) A topological space X (generally assumed to be connected) together with a continuous map μ : X × X → X with an identity element e such that μ(e, x) = μ(x, e) = x for all x in X.

H-spaces

（ plural ）

Details

H-space

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