Abstract
We prove a new systolic volume lower bound for non-orientable n-manifolds, involving the stable 1-systole as well as the codimension-1 systole with coefficients in 2. As an application, we prove that Lusternik-Schnirelmann category and systolic category agree for non-orientable closed manifolds of dimension 3, extending our earlier result in the orientable case. Finally, we prove the homotopy invariance of systolic category.
Original language | English |
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Pages (from-to) | 407-417 |
Number of pages | 11 |
Journal | Journal of the London Mathematical Society |
Volume | 78 |
Issue number | 2 |
DOIs | |
State | Published - Oct 2008 |
Funding
The first author is supported by the Israel Science Foundation (grants 84/03 and 1294/06) and the BSF (grant 2006393). The second author is supported by NSF (grant 0406311).
Funders | Funder number |
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National Science Foundation | 0406311 |
United States-Israel Binational Science Foundation | 2006393 |
Israel Science Foundation | 1294/06, 84/03 |