Meaning of diffeology | Babel Free

Definitions

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.

Examples

“In this case, A and f(A) are both D-open and f#58;A#92;rightarrowf(A) is a diffeomorphism where A and f(A) are equipped with their subset diffeology.”

“And, for #92;mathcal#123;G#125;#42;#47;#92;Gamma and #92;mathcal#123;G#125;'#42;#47;#92;Gamma' equipped with the quotient diffeologies, h#42;#95;#92;Gamma is naturally smooth.”

CEFR level