diffeological

Example:In the study of diffeology, one often considers diffeological spaces as the main objects of interest.

Definition:A topological space equipped with a diffeological structure.

Example:The diffeological structure on a space allows for a precise definition of smooth maps between spaces with singularities.

Definition:A scheme or organization in which a mathematical object exists or is made to exist.

Example:Diffeology studies the properties of spaces with both smooth and non-smooth aspects.

Definition:A characteristic feature or quality of something or someone.

Example:In diffeology, a diffeomorphism is a smooth map with a smooth inverse, preserving the diffeological structure.

Definition:A function that maps elements from one space to another.