Complement Spaces, Dual Complexes and Polyhedral Product Spaces

Abstract

In this paper, we define and prove basic properties of complement polyhedral product spaces, dual complexes and polyhedral join complexes. Then we compute the universal algebra of polyhedral join complexes under certain split conditions and the Alexander duality isomorphism on certain polyhedral product spaces.

36pages

References in corpus (2)

• Composition of simplicial complexes, polytopes and multigraded Betti numbers
• Discrete Morse theory for moment-angle complexes of pairs (D^n,S^{n-1})