diffeology
diffeology noun: 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.
Noun
diffeology (plural diffeologies)
- 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#58;A#92;rightarrowf(A) is a diffeomorphism where A and f(A) are equipped with their subset diffeology.2007, Jan Kubarski, Geometry and Topology of Manifolds: The Mathematical Legacy of Charles Ehresmann; on the Occasion of the Hundredth Anniversary of His Birthday, page 358
- 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.2010, Patrick Iglesias-Zemmour, The Moment Maps in Diffeology, American Mathematical Society, page 32
Forms of diffeology
| plural | diffeologies |
|---|
Words formed from diffeology
- quotient diffeology
Questions about diffeology
- What does diffeology mean?
- Diffeology means 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.
- What part of speech is diffeology?
- Diffeology is a noun.
- What is the plural of diffeology?
- The plural of diffeology is diffeologies.
Words near diffeology in the dictionary
Source and license
Adapted from Wiktionary: diffeology (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
Last updated:
Cite this entry: “diffeology.” Word.ws, https://word.ws/diffeology. Based on Wiktionary, CC BY-SA 4.0.