منابع مشابه
Approximate 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...
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In 1964, R. D. Anderson announced [ l ] that the product of a countably infinite collection of dendra is a Hilbert cube (a dendron being a nondegenerate, uniquely arcwise connected, Peano continuum). He and R. H. Bing conjectured in [4] that a countably infinite product of compact contractible complexes is a Hilbert cube. The purpose of this note is to announce the following theorems which affi...
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We obtain a homotopy splitting of the forget control map for controlled homeomorphisms over closed manifolds of nonpositive curvature.
متن کاملComplex cobordism of Hilbert manifolds
Slide 2 We will define a notion of cobordism generalizing that of Quillen: • D. G. Quillen, Elementary proofs of some results of cobordism theory using Steenrod operations, Adv. in Math. 7 (1971), 29–56. Details appear in • C. Özel, On the Complex Cobordism of Flag Varieties Associated to Loop Groups, PhD thesis, University of Glasgow (1998). • A. Baker & C. Özel, Complex cobordism of Hilbert m...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1973
ISSN: 0002-9947
DOI: 10.2307/1996532