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Diffeology

diffeology

noun

(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.

Diffeology is a branch of mathematics that studies differentiable spaces.

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diffeologies

noun

plural of diffeology

Diffeologies is a branch of mathematics that studies differentiable spaces.

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diffeologically

adv

In a diffeological manner.

She approached the problem diffeologically.

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diffeological

adj

(mathematics) Having a diffeology.

The diffeological structure on the manifold allows for smooth maps between diffeological spaces.

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