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Grassmannians are algebraic varieties whose points corresponds to vector subspaces of a fixed dimension in a fixed vector space.

4 votes

What are some triangulations of Grassmannians?

answer is in http://annals.math.princeton.edu/wp-content/uploads/annals-v158-n3-p04.pdf that states that certain "realizations of MacPhersonians" (they are simplicial complexes) are homotopy equivalent to Grassmannians
Marek Krčál's user avatar