diffeology
English
editNoun
editdiffeology (plural diffeologies)
- (differential geometry) The set of smooth parametrizations of a given set ; the set of smooth maps , where is any open set ; the theory of such constructs.
- 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:
- In this case, and are both D-open and is a diffeomorphism where and are equipped with their subset diffeology.
- 2010, Patrick Iglesias-Zemmour, The Moment Maps in Diffeology, American Mathematical Society, page 32:
- And, for and equipped with the quotient diffeologies, is naturally smooth.
Usage notes
edit- The dimensional qualifier n is not required to be the same for all members of the diffeology.
- A member of a diffeology may be called a plot.
- A set together with a diffeology is called a diffeological space.
Derived terms
editRelated terms
editSee also
editFurther reading
edit- diffeology on Wikipedia.Wikipedia