Volume 11, issue 2 (2011)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 26
Issue 4, 1229–1596
Issue 3, 825–1227
Issue 2, 411–824
Issue 1, 1–410

Volume 25, 9 issues

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
 
Author index
To appear
 
Other MSP journals
Stable systolic category of the product of spheres

Hoil Ryu

Algebraic & Geometric Topology 11 (2011) 983–999
Bibliography
1 I K Babenko, Asymptotic invariants of smooth manifolds, Izv. Ross. Akad. Nauk Ser. Mat. 56 (1992) 707 MR1208148
2 M Berger, Systoles et applications selon Gromov, Astérisque 216 (1993) 279 MR1246401
3 A N Dranishnikov, Y B Rudyak, Stable systolic category of manifolds and the cup-length, J. Fixed Point Theory Appl. 6 (2009) 165 MR2558490
4 H Federer, Geometric measure theory, 153, Springer New York, New York (1969) MR0257325
5 H Federer, Real flat chains, cochains and variational problems, Indiana Univ. Math. J. 24 (1974/75) 351 MR0348598
6 H Federer, W H Fleming, Normal and integral currents, Ann. of Math. (2) 72 (1960) 458 MR0123260
7 M Gromov, Filling Riemannian manifolds, J. Differential Geom. 18 (1983) 1 MR697984
8 M G Katz, Y B Rudyak, Lusternik–Schnirelmann category and systolic category of low-dimensional manifolds, Comm. Pure Appl. Math. 59 (2006) 1433 MR2248895
9 M G Katz, Y B Rudyak, Bounding volume by systoles of 3–manifolds, J. Lond. Math. Soc. (2) 78 (2008) 407 MR2439632
10 J P Serre, Homologie singulière des espaces fibrés. Applications, Ann. of Math. (2) 54 (1951) 425 MR0045386
11 B White, Rectifiability of flat chains, Ann. of Math. (2) 150 (1999) 165 MR1715323
12 H Whitney, Geometric integration theory, Princeton University Press (1957) MR0087148