• Download PDF
• Download TeX
• Download bibTeX entry

Metadata

Abstract

References

[BF] Bestvina, Mladen; Feighn, Mark Outer limits (available at https://www.math.utah.edu/~bestvina/eprints/bestvina.feighn..outer_limits.pdf)

[BF14] Bestvina, Mladen; Feighn, Mark Hyperbolicity of the complex of free factors, Adv. Math., Volume 256 (2014), pp. 104-155 | DOI | MR | Zbl

[BR15] Bestvina, Mladen; Reynolds, Patrick The boundary of the complex of free factors, Duke Math. J., Volume 164 (2015) no. 11, pp. 2213-2251 | DOI | MR | Zbl

[CH] Chaika, Jon; Hensel, Sebastian Path-connectivity of the set of uniquely ergodic and cobounded foliations (available on the authors homepage)

[CHL07] Coulbois, Thierry; Hilion, Arnaud; Lustig, Martin Non-unique ergodicity, observers’ topology and the dual algebraic lamination for $ℝ$-trees, Ill. J. Math., Volume 51 (2007) no. 3, pp. 897-911 | MR | Zbl

[CHL08a] Coulbois, Thierry; Hilion, Arnaud; Lustig, Martin $ℝ$-trees and laminations for free groups. I. Algebraic laminations, J. Lond. Math. Soc., Volume 78 (2008) no. 3, pp. 723-736 | DOI | MR | Zbl

[CHL08b] Coulbois, Thierry; Hilion, Arnaud; Lustig, Martin $ℝ$-trees and laminations for free groups. II. The dual lamination of an $ℝ$-tree, J. Lond. Math. Soc., Volume 78 (2008) no. 3, pp. 737-754 | DOI | MR | Zbl

[CHL08c] Coulbois, Thierry; Hilion, Arnaud; Lustig, Martin $ℝ$-trees and laminations for free groups. III.Currents and dual $ℝ$-tree metrics, J. Lond. Math. Soc., Volume 78 (2008) no. 3, pp. 755-766 | DOI | MR | Zbl

[CV86] Culler, Marc; Vogtmann, Karen Moduli of graphs and automorphisms of free groups, Invent. Math., Volume 84 (1986), pp. 91-119 | DOI | MR | Zbl

[FLP12] Fathi, Albert; Laudenbach, François; Poénaru, Valentin Thurston’s work on surfaces, Mathematical Notes (Princeton), 48, Princeton University Press, 2012 (translated from the 1979 French original by Djun M. Kim and Dan Margalit) | DOI | MR | Zbl

[Gab09] Gabai, David Almost filling laminations and the connectivity of ending lamination space, Geom. Topol., Volume 13 (2009) no. 2, pp. 1017-1041 | DOI | MR | Zbl

[Gab14] Gabai, David On the topology of ending lamination space, Geom. Topol., Volume 18 (2014) no. 5, pp. 2683-2745 | DOI | MR | Zbl

[Gui00a] Guirardel, Vincent Dynamics of $\mathrm{Out}\left(F_n\right)$ on the boundary of outer space, Ann. Sci. Éc. Norm. Supér., Volume 33 (2000) no. 4, pp. 433-465 | DOI | Numdam | MR | Zbl

[Gui00b] Guirardel, Vincent Dynamics of $\text{Out}\left(F_n\right)$ on the boundary of outer space, Ann. Sci. Éc. Norm. Supér., Volume 33 (2000) no. 4, pp. 433-465 | DOI | Numdam | MR | Zbl

[Ham14] Hamenstädt, Ursula The boundary of the free factor graph and the free splitting graph (2014) | arXiv

[Hor17] Horbez, Camille The boundary of the outer space of a free product, Isr. J. Math., Volume 221 (2017) no. 1, pp. 179-234 | DOI | MR | Zbl

[HP11] Hensel, Sebastian; Przytycki, Piotr The ending lamination space of the five-punctured sphere is the Nöbeling curve, J. Lond. Math. Soc., Volume 84 (2011) no. 1, pp. 103-119 | DOI | MR | Zbl

[Kap06] Kapovich, Ilya Currents on free groups, Topological and asymptotic aspects of group theory (Contemporary Mathematics), Volume 394, American Mathematical Society, 2006, pp. 149-176 | DOI | MR | Zbl

[KL09] Kapovich, Ilya; Lustig, Martin Geometric intersection number and analogues of the curve complex for free groups, Geom. Topol., Volume 13 (2009) no. 3, pp. 1805-1833 | DOI | MR | Zbl

[KL10] Kapovich, Ilya; Lustig, Martin Intersection form, laminations and currents on free groups, Geom. Funct. Anal., Volume 19 (2010) no. 5, pp. 1426-1467 | DOI | MR | Zbl

[Kla18] Klarreich, Erica The Boundary at Infinity of the Curve Complex and the Relative Teichmüller Space (2018) (to appear in Groups, Geometry, and Dynamics) | arXiv

[KR14] Kapovich, Ilya; Rafi, Kasra On hyperbolicity of free splitting and free factor complexes, Groups Geom. Dyn., Volume 8 (2014) no. 2, pp. 391-414 | DOI | MR | Zbl

[LL03] Levitt, Gilbert; Lustig, Martin Irreducible automorphisms of $F_n$ have north-south dynamics on compactified outer space, J. Inst. Math. Jussieu, Volume 2 (2003) no. 1, pp. 59-72 | DOI | MR | Zbl

[LS09] Leininger, Christopher J.; Schleimer, Saul Connectivity of the space of ending laminations, Duke Math. J., Volume 150 (2009) no. 3, pp. 533-575 | DOI | MR | Zbl

[Mar95] Martin, Reiner Non-uniquely ergodic foliations of thin-type, measured currents and automorphisms of free groups, Ph. D. Thesis, University of California, Los Angeles, USA (1995), 87 pages | MR

[MM99] Masur, Howard A.; Minsky, Yair N. Geometry of the complex of curves. I. Hyperbolicity, Invent. Math., Volume 138 (1999) no. 1, pp. 103-149 | DOI | MR | Zbl

[Nie24] Nielsen, Jakob Die Isomorphismengruppe der freien Gruppen, Math. Ann., Volume 91 (1924) no. 3-4, pp. 169-209 | DOI | MR | Zbl

[Rey12] Reynolds, Patrick Reducing systems for very small trees (2012) | arXiv

[Ser80] Serre, Jean-Pierre Trees, Springer, 1980 (translated from the French by John Stillwell) | DOI | MR | Zbl

[Sko96] Skora, Richard K. Splittings of surfaces, J. Am. Math. Soc., Volume 9 (1996) no. 2, pp. 605-616 | DOI | MR | Zbl

[Sta83] Stallings, John R. Topology of finite graphs, Invent. Math., Volume 71 (1983) no. 3, pp. 551-565 | DOI | MR | Zbl

[Vog08] Vogtmann, Karen What is$\cdots$outer space?, Notices Am. Math. Soc., Volume 55 (2008) no. 7, pp. 784-786 | MR | Zbl

[Whi36] Whitehead, J. H. C. On equivalent sets of elements in a free group, Ann. Math., Volume 37 (1936) no. 4, pp. 782-800 | DOI | MR | Zbl