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(...
متن کاملDihedral manifold approximate fibrations over the circle
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 کاملOn Constructing Approximate Convex Hull
The algorithms of convex hull have been extensively studied in literature, principally because of their wide range of applications in different areas. This article presents an efficient algorithm to construct approximate convex hull from a set of n points in the plane in O(n+ k) time, where k is the approximation error control parameter. The proposed algorithm is suitable for applications prefe...
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 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: Transactions of the American Mathematical Society
سال: 1983
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1983-0688976-3