\(k\)-weakly almost convex groups and \(\pi_ 1^ \infty \widetilde M^ 3\)
type: Item
instance of: scholarly article
title: \(k\)-weakly almost convex groups and \(\pi_ 1^ \infty \widetilde M^ 3\)
zbMATH Open document ID: 0805.57009
DOI: 10.1007/BF01265676
published in: Geometriae Dedicata
publication date: 1994-02-01T00:00:00Z
review text: If \(M^ 3\) is a closed 3-manifold such that \(\pi_ 1(M^ 3)\) is almost convex, then the first author has shown [J. Differ. Geom. 35, No. 1, 103- 130 (1992; Zbl 0777.57001)] that the universal covering space \(\widetilde{M}^ 3\) is simply-connected at infinity. In the present paper the same result is obtained under the hypothesis that \(\pi_ 1(M^ 3)\) is (only) 3-weakly almost convex, the notion referring to an upper bound of area for certain singular disks in the standard complex associated to a presentation of \(\pi_ 1(M^ 3)\).
Mathematics Subject Classification ID: 57N10
Mathematics Subject Classification ID: 57M10
Mathematics Subject Classification ID: 57M05
Mathematics Subject Classification ID: 20F65
zbMATH DE Number: 486899
zbMATH Keywords: 3-weakly almost convex fundamental group
zbMATH Keywords: closed 3-manifold
zbMATH Keywords: simply- connected at infinity
author: Valentin Poénaru
author: Corrado Tanasi
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01265676
OpenAlex ID: W2027829174
description: scientific article; zbMATH DE number 486899