Sheaves for Diffeological Spaces

Derek Krepski, Jordan Watts

Research output: Other contribution


We will define sheaves for diffeological spaces and give a construction of their \v{C]ech cohomology. As an application, given an abelian diffeological group $G$, we will show that the first degree \v{C}ech cohomology classes for the sheaf of smooth $G$-valued functioned classify diffeological principal $G$-bundles.
Original languageEnglish
StatePublished - Nov 2021


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