Geodesic
General Position Properties That Characterize 3-Manifolds
Canadian journal of mathematics, Tome 44 (1992) no. 2, pp. 234-251

Voir la notice de l'article provenant de la source Cambridge University Press

This paper defines three simplicial approximation properties for maps of 2-cells and 2-spheres into spaces, each providing homotopical tameness conditions on the approximating images. These are the general position properties used in the two main results. The first shows that a resolvable generalized 3-manifold is a genuine 3- manifold if and only if it has the weakest of these approximation properties as well as a mild 3-dimensional disjoint disks condition known as the Light Map Separation Property. The second shows a resolvable generalized 3-manifold to be a 3-manifold if and only if it satisfies the strongest of these approximation properties.
DOI : 10.4153/CJM-1992-016-x
Mots-clés : Primary:, 57N10, 57N75, Secondary:, 57N15, 57N60, 57P05, 54B05 
Daverman, R. J.; Repovš, D. General Position Properties That Characterize 3-Manifolds. Canadian journal of mathematics, Tome 44 (1992) no. 2, pp. 234-251. doi: 10.4153/CJM-1992-016-x
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