Loop spaces of polyhedral products associated with the polyhedral join product

Abstract

We give a homotopy equivalence for the loop space of the moment-angle complex associated with a simplicial complex formed by the polyhedral join operation, and give necessary conditions for this loop space to be a finite type product of spheres and loops on spheres.

References in corpus (3)

• Moment-angle complexes, monomial ideals, and Massey products
• On Polyhedral Product Spaces over Polyhedral Joins
• A stability theorem for bigraded persistence barcodes