منابع مشابه
Splitting Manifold Approximate Fibrations
Suppose M is a topological m-manifold, X is a generalized nmanifold satisfying the disjoint disks property (DDP ), m > n ≥ 5, f : M → X is an approximate fibration, with fiber the shape of a closed topological manifold F , and Y is a closed, 1-LCC, codimension three subset of X. We examine conditions under which f is controlled homeomorphic to an approximate fibration g : M → X such that g|g−1(...
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Consider the cyclic group C2 of order two acting by complex-conjugation on the unit circle S1. The main result is that a finitely dominated manifold W of dimension> 4 admits a cocompact, free, discontinuous action by the infinite dihedral group D∞ if and only if W is the infinite cyclic cover of a free C2-manifold M such that M admits a C2-equivariant manifold approximate fibration to S1. The n...
متن کاملApproximate Fibrations and Bundle Maps on Hilbert Cube Manifolds
This paper is concerned with parameterized families of approximate fibrations from a compact Hilbert cube manifold M to a compact polyhedron B. The main result shows how to straighten out certain of these families to be nearly like a product. As an application of this technique, it is shown that an approximate fibration p:M +B can be approximated arbitrarily closely by bundle maps if and only i...
متن کاملPull-backs and Fibrations in Approximate Pro-categories
In this paper we introduce the category Apro-ANR called the approximate pro-category of ANR’s, whose objects are all systems of ANR’s and whose morphisms are obtained as equivalence classes of system maps for some equivalence relation. We show that any 2-sink X f −→ Z g ←− Y in Apro-ANR admits a weak pull-back and it admits a pull-back if they are systems of compact ANR’s. Moreover, it admits a...
متن کاملDiagonal Fibrations Are Pointwise Fibrations
On the category of bisimplicial sets there are different Quillen closed model structures associated to various definitions of fibrations. In one of them, which is due to Bousfield and Kan and that consists of seeing a bisimplicial set as a simplicial object in the category of simplicial sets, fibrations are those bisimplicial set maps such that each of the induced simplicial set maps is a Kan f...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 1977
ISSN: 0035-7596
DOI: 10.1216/rmj-1977-7-2-275