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math.DG2023
A remark on stability and the D-topology of mapping spaces
Alireza Ahmadi
We discuss how stability is related to the D-topology of mapping spaces, equipped with the functional diffeology. Indeed, we show that stable classes of mapping spaces are D-open.…
math.DG2023
On diffeologies for power sets and measures
Alireza Ahmadi, Jean-Pierre Magnot
We consider a differential geometric setting on power sets and Borel algebras. Our chosen framework is based on diffeologies, and we make a link between the various diffeological s…
math.DG2023★ 1 cited
Diffeological Čech cohomology
Alireza Ahmadi
Motivated by problems in which data are given over covering generating families, we suggest a new cohomology theory for diffeological spaces, called diffeological Čech cohomology,…