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Spaces of PL Manifolds and Categories of Simple Maps, 2013, Vol.186, p.139-174
Ort / Verlag
United States: Princeton University Press
Erscheinungsjahr
2013
Quelle
Alma/SFX Local Collection
Beschreibungen/Notizen
In this chapter, let Δ
q
denote the standard affineq-simplex. All polyhedra will be compact, and all manifolds considered will be compact PL manifolds, usually without further mention. Recall the fixed intervalsIandJfrom Section 1.1.
The aim of this section is to reduce the proof of the manifold part of the stable parametrizedh-cobordism theorem, Theorem 1.1.8, to a result about spaces of stably framed manifolds, Theorem 4.1.14, which will be proved in the following two sections.
Definition 4.1.1. LetPbe a compact polyhedron. By a family of manifolds parametrized byPwe shall mean a