Hatcher, *Algebraic Topology*, Chapter 2, Section 1

**24. Show that each -simplex in the barycentric subdivision of is defined by inequalities in its barycentric coordinates, where is a permutation of .**

*Proof.*

Hatcher, *Algebraic Topology*, Chapter 2, Section 1

**24. Show that each -simplex in the barycentric subdivision of is defined by inequalities in its barycentric coordinates, where is a permutation of .**

*Proof.*

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