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- W3007186594 abstract "By exploiting the idea of Colombeau generalized function, we introduce a notion of asymptotic map between arbitrary diffeological spaces. The category consisting of diffeological spaces and asymptotic maps is enriched over the category of diffeological spaces and inherits completeness and cocompleteness. In particular, asymptotic functions on a Euclidean open set include Schwartz distributions and form a smooth differential algebra over Robinson's field of asymptotic numbers. To illustrate the use of our method, we prove that smooth relative cell complexes enjoy homotopy extension property with respect to asymptotic maps and homotopies." @default.
- W3007186594 created "2020-03-06" @default.
- W3007186594 creator A5037645169 @default.
- W3007186594 date "2020-02-26" @default.
- W3007186594 modified "2023-09-27" @default.
- W3007186594 title "Generalized maps between diffeological spaces" @default.
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