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BIBTEX RIS

On Singular Cut-and-Pastes in the 3-Space with Applications to Link Theory

1995; Springer Science+Business Media; Volume: 8; Issue: 1 Linguagem: Inglês

10.5209/rev_rema.1995.v8.n1.17712

ISSN

1988-2807

Autores

Fujitsugu Hosokawa, Shin Suzuki,

Tópico(s)

Advanced Combinatorial Mathematics

Resumo

In the study of surfaces in 3-manifolds, the so-called "cutand-paste" of surfaces is frequently used.In this paper, we generalize this method, in a sense, to singular-surfaces, and as an application, we prove that two collections of singular-disks in the 3-space R 3 which span the same trivial link are link-homotopic in the upper-half 4-space R3[O, 00) keeping the link fixed.Thx-oughaut the paper, we work in the piecewise linear category, consistzng of simplicial complexes and piecewise linear maps. SINGULAR LOOPS IN A 2-CELLWe denote by OX azul 9K, respectively, tite boundary asid tite hiterior of a manifold X.For a subcomplex P in a complex M, by N(P; M) we denote a regular neighborhood. of P in M, that is, we construct tIte second derived of M and take the closed star of P, see [H], [RS].

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