Fibrations between mapping spaces
نویسندگان
چکیده
منابع مشابه
Grothendieck fibrations and classifying spaces
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 کاملStratified 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...
متن کاملResolutions of Spaces by Cubes of Fibrations
J.-L. Loday has used w-cubes of fibrations, where n is a non-negative integer, in his study of spaces with finitely many non-trivial homotopy groups [4]. His main result is the construction of an algebraic category equivalent to the weak homotopy category of path-connected spaces Z with TI^Z = 0 for / > w+1 [4, 1.7]. One step in the proof [4, 3.5] requires the construction of certain «-cubes of...
متن کاملClassifying Spaces and Fibrations of Simplicial Sheaves
In this paper, we discuss the construction of classifying spaces of fibre sequences in model categories of simplicial sheaves. One construction proceeds via Brown representability and provides a classification in the pointed model category. The second construction is given by the classifying space of the monoid of homotopy self-equivalences of a simplicial sheaf and provides the unpointed class...
متن کاملHyperelliptic Lefschetz Fibrations and Branched Covering Spaces
Let M be a smooth 4-manifold which admits a relatively minimal hyperelliptic genus h Lefschetz fibration over S. If all of the vanishing cycles for this fibration are nonseparating curves, then we show that M is a 2-fold cover of an S-bundle over S, branched over an embedded surface. If the collection of vanishing cycles for this fibration includes σ separating curves, we show that M is the rel...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2014
ISSN: 0166-8641
DOI: 10.1016/j.topol.2014.09.014