Manifolds from Partitions

2024/01/15 by Knill, Oliver · 2 citations
#05C50 #57M15 #68R10 #Combinatorics (math.CO) #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2401.07435

Abstract

If f maps a discrete d-manifold G onto a (k+1)-partite complex P then H(G,f,P),the set of simplices x in G such that f(x) contains at least one facet in P defines a (d-k)-manifold.

Cited by

• Euler Characteristics of Random Manifolds
• Dehn Sommerville Manifolds

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