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math.DG2024
The Diffeological Čech-de Rham Obstruction
Emilio Minichiello
Using higher topos theory, we explore the obstruction to the Čech-de Rham map being an isomorphism in each degree for diffeological spaces. In degree 1, we obtain an exact sequence…
math.DG2022
Diffeological Principal Bundles and Principal Infinity Bundles
Emilio Minichiello
In this paper, we study diffeological spaces as certain kinds of discrete simplicial presheaves on the site of cartesian spaces with the coverage of good open covers. The Čech mode…