Details

Autor(en) / Beteiligte

• Waldhausen, Friedhelm
• Jahren, Bjø
• Rognes, John

Titel

The non-manifold part

Ist Teil von

• Spaces of PL Manifolds and Categories of Simple Maps, 2013, Vol.186, p.99-138

Ort / Verlag

United States: Princeton University Press

Erscheinungsjahr

2013

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• In this chapter, let Δ q denote the simplicialq-simplex, the simplicial set represented by [q] in Δ, and let |Δ q | denote its geometric realization, the standard affineq-simplex. Definition 3.1.1. Let$\mathcal{C}$be the category of finite simplicial setsXand simplicial mapsf:X→Y. Let$\mathcal{D}$be the full subcategory of$\mathcal{C}$of finite non-singular simplicial sets, and write$i: \mathcal{D}\rightarrow \mathcal{C}$for the inclusion functor. Let$\mathcal{E}$be the category of compact polyhedraKand PL mapsf:K→L, and write$r: \mathcal{D}\rightarrow \mathcal{E}$for the polyhedral realization functor. We also writeiandr