Hurewicz fibrations, almost submetries and critical points of smooth maps
نویسندگان
چکیده
منابع مشابه
On smooth maps with finitely many critical points
We consider manifolds M which admit smooth maps into a connected sum of S × S with only finitely many critical points, for n ∈ {2, 4, 8}, and compute the minimal number of critical points.
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where for simplicity X+ denotes the suspension spectrum of the space obtained from X by adding a disjoint basepoint. One key property of τ(f) is the fact that the composite map f+ ·τ(f) : B+ −→ B+ induces a map on integral homology which is multiplication by the Euler characteristic χ(F ). The purpose of this paper is to construct something like the transfer τ(f) in many cases in which F is not...
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We consider manifolds M which admit smooth maps into a connected sum of S × S with only finitely many critical points, for n ∈ {2, 4, 8}, and compute the minimal number of critical points.
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Suppose /: X —• Y is a map of 1-connected spaces. In the "stable" range, roughly where the connectivity of Y exceeds the homology, or homotopy, dimension of X, it is well known that / can be extended as a cofibration C — X — Y, or respectively a fibration X — Y — B. A criterion is given for the existence of such extensions in a less restrictive "metastable" range. A main result is that if / is ...
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ژورنال
عنوان ژورنال: Forum Mathematicum
سال: 2017
ISSN: 0933-7741,1435-5337
DOI: 10.1515/forum-2016-0009