Zobrazeno 1 - 10
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pro vyhledávání: '"Swenson, Eric"'
Autor:
Papasoglu, Panos, Swenson, Eric
We extend the classical result of Lyusternik and Fet on the existence of closed geodesics to singular spaces. We show that if $X$ is a compact geodesic metric space satisfying the CAT($\kappa $) condition for some fixed $\kappa >0$ and $\pi_n(X)\ne 0
Externí odkaz:
http://arxiv.org/abs/2207.02557
Autor:
Swenson, Eric
We provide sharp conditions under which a collection of separators A of a connected topological space Z leads to a canonical R-tree T . Any group acting on Z by homeomorphisms will act by homeomorphisms on T.
Externí odkaz:
http://arxiv.org/abs/2007.02158
Akademický článek
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Autor:
Mihalik, Michael, Swenson, Eric
Suppose $G$ is a 1-ended finitely presented group that is hyperbolic relative to $\mathcal P$ a finite collection of 1-ended finitely presented proper subgroups of $G$. Our main theorem states that if the boundary $\partial (G,{\mathcal P})$ is local
Externí odkaz:
http://arxiv.org/abs/1812.08893
Akademický článek
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Autor:
Papasoglu, Panos, Swenson, Eric
We show that if a 1-ended group $G$ acts geometrically on a CAT(0) space $X$ and $\bd X$ is separated by $m$ points then either $G$ is virtually a surface group or $G$ splits over a 2-ended group. In the course of the proof we study nesting actions o
Externí odkaz:
http://arxiv.org/abs/1807.04086
Autor:
Papasoglu, Panos, Swenson, Eric
We show that there is a complete connected 2-dimensional Riemannian manifold with discontinuous isoperimetric profile, answering a question of Nardulli and Pansu.
Comment: this paper merged with arXiv:1509.02307 and is superseded by the new vers
Comment: this paper merged with arXiv:1509.02307 and is superseded by the new vers
Externí odkaz:
http://arxiv.org/abs/1803.07375
Autor:
Mihalik, Michael, Swenson, Eric
Publikováno v:
In Topology and its Applications 1 August 2022 317
Autor:
Mihalik, Michael L., Swenson, Eric
Suppose $G$ is a 1-ended finitely generated group that is hyperbolic relative to P a finite collection of 1-ended finitely generated subgroups. Our main theorem states that if the boundary $\partial (G, P)$ has no cut point, then $G$ has semistable f
Externí odkaz:
http://arxiv.org/abs/1709.02420