diffeology

英語（米国） (en-US) 英語（イギリス） (en-GB)

名詞

(differential geometry) The set of smooth parametrizations of a given set X; the set of smooth maps S→X, where S is any open set ⊆ℝⁿ; the theory of such constructs.

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The diffeology on the subset X determines which maps from Euclidean spaces are considered smooth.

詳細

意味（1）

(differential geometry) The set of smooth parametrizations of a given set X; the set of smooth maps S→X, where S is any open set ⊆ℝⁿ; the theory of such constructs.

In this case, A and f(A) are both D-open and f:A→f(A) is a diffeomorphism where A and f(A) are equipped with their subset diffeology.

詳細

diffeologies （ 複数形 ）