Nonsmooth manifold decompositions

Description of video

Date: 3/8/24
Speaker :Eva Horvat

AGDT Seminar



    Abstract: Manifolds have often been studied by analytic methods involving Morse functions. By considering a wider and more irregular class of functions, one might gain new insight into the structure of the manifold under scrutiny. We introduce continuous selections of smooth functions, which generically provide a stratification of their domain. We show some examples of stratifications for low dimensional manifolds and discuss possibilities for further investigation.


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