Convex decomposition spaces and Crapo complementation formula

Imma Gálvez-Carrillo, Joachim Kock, Andrew Tonks

We establish a Crapo complementation formula for the Möbius function ${\mu }^X$ in a general decomposition space $X$ in terms of a convex subspace $K$ and its complement: $μ^X \simeq μ^…