Geometry & Topology Volume 15, issue 2 (2011)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

Other MSP journals

On macroscopic dimension of rationally essential manifolds

Alexander Dranishnikov

Geometry & Topology 15 (2011) 1107–1124

DOI: 10.2140/gt.2011.15.1107

Bibliography

1	G Bell, A Dranishnikov, On asymptotic dimension of groups acting on trees, Geom. Dedicata 103 (2004) 89 MR2034954
2	J Block, S Weinberger, Aperiodic tilings, positive scalar curvature and amenability of spaces, J. Amer. Math. Soc. 5 (1992) 907 MR1145337
3	D Bolotov, A Dranishnikov, On Gromov's scalar curvature conjecture, Proc. Amer. Math. Soc. 138 (2010) 1517 MR2578547
4	K S Brown, Cohomology of groups, Graduate Texts in Mathematics 87, Springer (1994) MR1324339
5	M Brunnbauer, B Hanke, Large and small group homology, J. Topol. 3 (2010) 463 MR2651368
6	A Dranishnikov, Macroscopic dimension and essential manifolds, to appear, from: "Proceedings of the Conference dedicated to the 75th anniversary of the Steklov Mathematical Institute, Moscow, 2009", Proc. Steklov Inst. Math.
7	A N Dranishnikov, Y B Rudyak, On the Berstein–Svarc theorem in dimension 2, Math. Proc. Cambridge Philos. Soc. 146 (2009) 407 MR2475974
8	S M Gersten, Cohomological lower bounds for isoperimetric functions on groups, Topology 37 (1998) 1031 MR1650363
9	M Gromov, Filling Riemannian manifolds, J. Differential Geom. 18 (1983) 1 MR697984
10	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
11	M Gromov, Positive curvature, macroscopic dimension, spectral gaps and higher signatures, from: "Functional analysis on the eve of the 21st century, Vol. II (New Brunswick, NJ, 1993)", Progr. Math. 132, Birkhäuser (1996) 1 MR1389019
12	A S Švarc, The genus of a fibered space, Trudy Moskov. Mat. Obšč. 10 (1961) 217 MR0154284