Results 21 to 30 of about 582 (36)
, 2015 We propose the metric notion of strong hyperbolicity as a way of obtaining hyperbolicity with sharp additional properties. Specifically, strongly hyperbolic spaces are Gromov hyperbolic spaces that are metrically well-behaved at infinity, and, under weak
Nica, Bogdan, Spakula, Jan
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On the Cut Number of a 3-manifold
, 2002 The question was raised as to whether the cut number of a 3-manifold X is bounded from below by 1/3 beta_1(X). We show that the answer to this question is `no.' For each m>0, we construct explicit examples of closed 3-manifolds X with beta_1(X)=m and cut
Gilmer +4 more
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The strong profinite genus of a finitely presented group can be infinite [PDF]
, 2015 We construct the first example of a finitely-presented, residually-finite group that contains an infinite sequence of non-isomorphic finitely-presented subgroups such that each of the inclusion maps induces an isomorphism of profinite completions.Comment:
Bridson, Martin R.
core
, 2016 We consider a `contracting boundary' of a proper geodesic metric space consisting of equivalence classes of geodesic rays that behave like geodesics in a hyperbolic space.
Cashen, Christopher H.
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Erratum for "The degree theorem in higher rank" [PDF]
, 2015 The purpose of this erratum is to correct a mistake in the proof of Theorem 4.1 of our paper \cite{CF}.Comment: Minor revisions suggested by ...
Connell, Chris, Farb, Benson
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Virtually splitting the map from Aut(G) to Out(G)
, 2013 We give an elementary criterion on a group G for the map from Aut(G) to Out(G) to split virtually. This criterion applies to many residually finite CAT(0) groups and hyperbolic groups, and in particular to all finitely generated Coxeter groups.
Carette, Mathieu
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Contractibility of boundaries of cocompact convex sets and embeddings of limit sets
Analysis and Geometry in Metric SpacesWe provide sufficient conditions as to when a boundary component of a cocompact convex set in a CAT(0){\rm{CAT}}\left(0)-space is contractible. We then use this to study when the limit set of a quasi-convex, codimension one subgroup of a negatively ...
Bregman Corey, Incerti-Medici Merlin
doaj +1 more source
On a question of Bumagin and Wise [PDF]
, 2015 Motivated by a question of Bumagin and Wise, we construct a continuum of finitely generated, residually finite groups whose outer automorphism groups are pairwise non-isomorphic finitely generated, non-recursively-presentable groups.
Logan, Alan D.
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Every finite complex has the homology of some CAT(0) cubical duality group [PDF]
, 2012 We prove that every finite connected simplicial complex has the homology of the classifying space for some $\mathrm{CAT}(0)$ cubical duality group. More specifically, for any finite simplicial complex $X$, we construct a locally $\mathrm{CAT}(0)$ cubical
Kim, Raeyong
core
Lattices in a product of trees, hierarchically hyperbolic groups and virtual torsion-freeness. [PDF]
Bull Lond Math Soc, 2022 Hughes S.
europepmc +1 more source