Cellular Stratified Spaces II: Basic Constructions

Abstract

This is a sequel to [1106.3772], in which a systematic study of cellular stratified spaces and related concepts was initiated. In this paper, we study important operations on cellular and stellar stratified spaces, including taking subspaces, subdivisions, and products. We also introduce a procedure which extends the classical duality for simplicial complexes. The results in this paper will be used to construct "Salvetti-type" models for configuration spaces.

This paper and the first part arXiv:1106.3772 are now combined as a single article arXiv:1609.04500

References in corpus (4)

• The Grothendieck Construction and Gradings for Enriched Categories
• The Euler characteristics of categories and the barycentric subdivision
• Cellular Stratified Spaces I: Face Categories and Classifying Spaces
• The Euler characteristic of infinite acyclic categories with filtrations

Cited by in corpus (4)

• Arrangements of Submanifolds and the Tangent Bundle Complement
• Cellular Stratified Spaces I: Face Categories and Classifying Spaces
• Totally normal cellular stratified spaces and applications to the configuration space of graphs
• The Euler characteristic of an enriched category