منابع مشابه
Stratified Path Spaces and Fibrations
The main objects of study are the homotopically stratified metric spaces introduced by Quinn. Closed unions of strata are shown to be stratified forward tame. Stratified fibrations between spaces with stratifications are introduced. Paths which lie in a single stratum except possibly at their initial points form a space with a natural stratification, and the evaluation map from that space of pa...
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We derive spectral sequences for the intersection homology of stratified fibrations and approximate tubular neighborhoods in manifold stratified spaces. The neighborhoods include regular neighborhoods in PL stratified spaces. 2000 Mathematics Subject Classification: 55N33, 55R20 (Secondary: 57N80, 55R65)
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Grothendieck fibrations have played an important role in homotopy theory. Among others, theywereused byThomason to describehomotopy colimits of small categories and byQuillen to derive long exact sequences of higher K-theory groups. We construct simplicial objects, namely the fibred and the cleaved nerve, to characterize the homotopy type of a Grothendieck fibration by using the additional stru...
متن کاملControlled Topological Equivalence of Maps in the Theory of Stratified Spaces and Approximate Fibrations
Ideas from the theory of topological stability of smooth maps are transported into the controlled topological category. For example, the controlled topological equivalence of maps is discussed. These notions are related to the classi cation of manifold approximate brations and manifold strati ed approximate brations. In turn, these maps form a bundle theory which can be used to describe neighbo...
متن کاملSurgery and stratified spaces
The past couple of decades has seen significant progress in the theory of stratified spaces through the application of controlled methods as well as through the applications of intersection homology. In this paper we will give a cursory introduction to this material, hopefully whetting your appetite to peruse more thorough accounts. In more detail, the contents of this paper are as follows: the...
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ژورنال
عنوان ژورنال: Proceedings of the Royal Society of Edinburgh: Section A Mathematics
سال: 1999
ISSN: 0308-2105,1473-7124
DOI: 10.1017/s0308210500021405