Cellular Stratified Spaces II: Basic Constructions

Details Cellular Stratified Spaces II: Basic Constructions Cellular Stratified Spaces II: Basic Constructions

2011-11-21

arxiv.org/abs/1111.4774v2

Mathematics

Algebraic Topology

46 pages, many figures

Scientific paper

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.

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