Retracting compact 3-manifolds onto their boundary components

Kang, Ensil

Kang, Ensil

Proc. Japan Acad. Ser. A Math. Sci., Tome 78 (2002) no. 10, p. 10-13 / Harvested from Project Euclid

Résumé

Let $X$ be a compact 3-manifold and $A$ a boundary component of $X$ to which $X$ retracts. We propose the problem of classifying such $(X,A)$ up to PL homeomorphisms in a suitable class of manifolds. We give a complete solution in a special case. We show in this case there are exactly twenty-four basic pairs $(X,A)$ and all other cases are obtained from these by some obvious modifications. If $A$ is assumed to be different from a 2-sphere, there are six basic pairs.

Publié le : 2002-01-14
Classification: 3-manifold, retraction, 57M50, 57N16, 57M60

@article{1148392780,
     author = {Kang, Ensil},
     title = {Retracting compact 3-manifolds onto their boundary components},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {78},
     number = {10},
     year = {2002},
     pages = { 10-13},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1148392780}
}

Kang, Ensil. Retracting compact 3-manifolds onto their boundary components. Proc. Japan Acad. Ser. A Math. Sci., Tome 78 (2002) no. 10, pp.  10-13. http://gdmltest.u-ga.fr/item/1148392780/