D G ] 1 2 Ju n 20 07 BOUNDING VOLUME BY SYSTOLES OF 3-MANIFOLDS

@inproceedings{KatzDG,
  title={D G ] 1 2 Ju n 20 07 BOUNDING VOLUME BY SYSTOLES OF 3-MANIFOLDS},
  author={Mikhail G. Katz and YULI B. RUDYAK}
}
We prove a new systolic volume lower bound for non-orientable n-manifolds, involving the stable 1-systole and the codi-mension 1 systole with coefficients in Z 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.