Special approximations to embeddings of codimension one spheres
نویسندگان
چکیده
منابع مشابه
Codimension Two Pl Embeddings of Spheres with Nonstandard Regular Neighborhoods
Abstract. For a given polyhedron K ⊂ M the notation RM (K) denotes a regular neighborhood of K in M . We study the following problem: find all pairs (m,k) such that if K is a compact k-polyhedron and M a PL m-manifold, then RM (fK) ∼= RM (gK), for each two homotopic PL embeddings f, g : K → M . We prove that R Sk+2 (S) 6∼= S × D for each k ≥ 2 and some PL sphere S ⊂ S (even for any PL sphere S ...
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Grove and Halperin [3] introduced a notion of taut immersions. Terng and Thorbergsson [5] give a slightly different definition and showed that taut immersions are a simultaneous generalization of taut immersions of manifolds into Euclidean spaces or spheres, and some interesting embeddings constructed by Bott and Samelson [1]. They go on to prove many theorems about such immersions. One particu...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1978
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1978.76.21