Details

Autor(en) / Beteiligte

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

Titel

On simple maps

Ist Teil von

• Spaces of PL Manifolds and Categories of Simple Maps, 2013, Vol.186, p.29-98

Ort / Verlag

United States: Princeton University Press

Erscheinungsjahr

2013

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• In this section we define simple maps of finite simplicial sets, and establish some of their formal properties. Let Δ be the skeleton category of finite non-empty ordinals, with objects the linearly ordered sets [n] = {0 < 1 < ⋯ <n} forn≥ 0, and morphismsα: [n] → [m] the order-preserving functions. A simplicial setXis a contravariant functor from Δ to sets. The simplicial set Δ q is the functor represented by the object [q]. By a simplex inXwe mean a pair ([n],x), wheren≥ 0 andx∈Xn , but we shall usually