## Singularities I.1

These are some notes that I’m writing up on Gromov’s papers on singularities of maps. This first post will look at some of the introductory material in: Singularities, Expanders and Topology of Maps. Pt 1. These notes will be a partial introduction to what is going on.

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## Of Waists and Spheres

These are some notes that I’m writing up on Gromov‘s *waist inequality*. We’ll look at some standard material about the Borsuk-Ulam theorem and finish with a nice application of the inequality.

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