Cellular strings on polytopes

Billera, L. J.; Kapranov, M. M.; Sturmfels, B.

doi:10.1090/S0002-9939-1994-1205482-0

Cellular strings on polytopes
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by L. J. Billera, M. M. Kapranov and B. Sturmfels PDF

Proc. Amer. Math. Soc. 122 (1994), 549-555 Request permission

Abstract:

The complex of cellular strings with respect to a generic linear functional on a d-dimensional convex polytope has the homotopy type of the $(d - 2)$-sphere. This result was conjectured in a special case by H.-J. Baues.

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