Geodesic
Manifolds with non-stable fundamental groups at infinity, III
Guilbault, Craig R1 ; Tinsley, Frederick C2
1 Department of Mathematical Sciences, University of Wisconsin-Milwaukee, Milwaukee, WI 53201, USA
2 Department of Mathematics, The Colorado College, Colorado Springs, Colorado 80903, USA
Geometry & topology, Tome 10 (2006) no. 1, pp. 541-556.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We continue our study of ends non-compact manifolds. The over-arching aim is to provide an appropriate generalization of Siebenmann’s famous collaring theorem that applies to manifolds having non-stable fundamental group systems at infinity. In this paper a primary goal is finally achieved; namely, a complete characterization of pseudo-collarability for manifolds of dimension at least 6.

DOI : 10.2140/gt.2006.10.541
Keywords: manifold, end, tame, inward tame, open collar, pseudo-collar, semistable, Mittag-Leffler, perfect group, perfectly semistable, Siebenmann's thesis, Wall finiteness obstruction, Quillen's plus construction

Guilbault, Craig R 1 ; Tinsley, Frederick C 2

1 Department of Mathematical Sciences, University of Wisconsin-Milwaukee, Milwaukee, WI 53201, USA
2 Department of Mathematics, The Colorado College, Colorado Springs, Colorado 80903, USA 
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Guilbault, Craig R; Tinsley, Frederick C. Manifolds with non-stable fundamental groups at infinity, III. Geometry & topology, Tome 10 (2006) no. 1, pp. 541-556. doi : 10.2140/gt.2006.10.541. http://geodesic.mathdoc.fr/articles/10.2140/gt.2006.10.541/

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