On singular cut-and-pastes in the 3-space with applications to link theory.

Hosokawa, Fujitsugu, and Suzuki, Shin'ichi. "On singular cut-and-pastes in the 3-space with applications to link theory.." Revista Matemática de la Universidad Complutense de Madrid 8.1 (1995): 155-168. <http://eudml.org/doc/44183>.

@article{Hosokawa1995,
abstract = {In the study of surfaces in 3-manifolds, the so-called ?cut-and-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 R3 which span the same trivial link are link-homotopic in the upper-half 4-space R3 [0,8) keeping the link fixed. Throughout the paper, we work in the piecewise linear category, consisting of simplicial complexes and piecewise linear maps.},
author = {Hosokawa, Fujitsugu, Suzuki, Shin'ichi},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Lazo homotopo; Discos; Espacio tridimensional; Espacio topológico casi lineal; Singularidades; Mapas; cut-and-paste; 3-manifolds; singular surfaces; singular disks in the 3- space; link-homotopic},
language = {eng},
number = {1},
pages = {155-168},
title = {On singular cut-and-pastes in the 3-space with applications to link theory.},
url = {http://eudml.org/doc/44183},
volume = {8},
year = {1995},
}

TY - JOUR
AU - Hosokawa, Fujitsugu
AU - Suzuki, Shin'ichi
TI - On singular cut-and-pastes in the 3-space with applications to link theory.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1995
VL - 8
IS - 1
SP - 155
EP - 168
AB - In the study of surfaces in 3-manifolds, the so-called ?cut-and-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 R3 which span the same trivial link are link-homotopic in the upper-half 4-space R3 [0,8) keeping the link fixed. Throughout the paper, we work in the piecewise linear category, consisting of simplicial complexes and piecewise linear maps.
LA - eng
KW - Lazo homotopo; Discos; Espacio tridimensional; Espacio topológico casi lineal; Singularidades; Mapas; cut-and-paste; 3-manifolds; singular surfaces; singular disks in the 3- space; link-homotopic
UR - http://eudml.org/doc/44183
ER -