Pontrjagin–thom-type construction for maps with singularities
نویسندگان
چکیده
منابع مشابه
On Maps with Unstable Singularities
If a continuous map f : X → Q is approximable arbitrary closely by embeddings X →֒ Q, can some embedding be taken onto f by a pseudo-isotopy? This question, called Isotopic Realization Problem, was raised by Ščepin and Akhmet’ev. We consider the case where X is a compact n-polyhedron, Q a PL m-manifold and show that the answer is ‘generally no’ for (n,m) = (3, 6); (1, 3), and ‘yes’ when: 1) m > ...
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Let N and P be smooth manifolds of dimensions n and p (n ≥ p ≥ 2) respectively. Let Ω (N, P ) denote an open subspace of J∞(N, P ) which consists of all Boardman submanifolds Σ (N, P ) of symbols J with J ≤ I. An Ω -regular map f : N → P refers to a smooth map having only singularities in Ω (N, P ) and satisfying transversality condition. We will prove what is called the homotopy principle for ...
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ژورنال
عنوان ژورنال: Topology
سال: 1998
ISSN: 0040-9383
DOI: 10.1016/s0040-9383(97)00093-1