Algebraic & Geometric Topology Volume 7, issue 2 (2007)

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ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

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A note on spaces of asymptotic dimension one

Koji Fujiwara and Kevin Whyte

Algebraic & Geometric Topology 7 (2007) 1063–1070

DOI: 10.2140/agt.2007.7.1063

Bibliography

1	G Baumslag, Wreath products and finitely presented groups, Math. Z. 75 (1960/1961) 22 MR0120269
2	G Bell, K Fujiwara, The asymptotic dimension of a curve graph is finite, J. Lond. Math. Soc. (to appear) arXiv:math.GT/0509216
3	J Block, S Weinberger, Large scale homology theories and geometry, from: "Geometric topology (Athens, GA, 1993)", AMS/IP Stud. Adv. Math. 2, Amer. Math. Soc. (1997) 522 MR1470747
4	A N Dranishnikov, Cohomological approach to asymptotic dimension, arXiv:math.MG/0608215
5	A Dranishnikov, J Smith, Asymptotic dimension of discrete groups, Fund. Math. 189 (2006) 27 MR2213160
6	M J Dunwoody, The accessibility of finitely presented groups, Invent. Math. 81 (1985) 449
7	A Gentimis, Asymptotic dimension of finitely presented group, arXiv:math.AT/0610541
8	M Gromov, Asymptotic invariants of infinite groups, from: "Geometric group theory, Vol. 2 (Sussex, 1991)", London Math. Soc. Lecture Note Ser. 182, Cambridge Univ. Press (1993) 1 MR1253544
9	W J Harvey, Boundary structure of the modular group, from: "Riemann surfaces and related topics: Proceedings of the 1978 Stony Brook Conference (State Univ. New York, Stony Brook, N.Y., 1978)", Ann. of Math. Stud. 97, Princeton Univ. Press (1981) 245 MR624817
10	T Januszkiewicz, J Swiatkowski, Filling invariants of systolic complexes and groups, Geom. Topol. 11 (2007) 727
11	J F Manning, Geometry of pseudocharacters, Geom. Topol. 9 (2005) 1147 MR2174263
12	H A Masur, Y N Minsky, Geometry of the complex of curves. I. Hyperbolicity, Invent. Math. 138 (1999) 103 MR1714338
13	J R Munkres, Topology, Prentice Hall (2000)
14	S Schleimer, The end of the curve complex, arXiv:math.GT/0608505
15	J R Stallings, On torsion-free groups with infinitely many ends, Ann. of Math. $(2)$ 88 (1968) 312 MR0228573