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math.AT2008
Stable Systolic Category of Manifolds and the Cup-length
Alexander N. Dranishnikov, Yuli B. Rudyak
It follows from a theorem of Gromov that the stable systolic category of a closed manifold is bounded from below by the rational cup-length of the manifold. In the paper we study t…
math.AT2008★ 1 cited
Small values of the Lusternik-Schnirelmann category for manifolds
Alexander N. Dranishnikov, Mikhail G. Katz, Yuli B. Rudyak
We prove that manifolds of Lusternik-Schnirelmann category 2 necessarily have free fundamental group. We thus settle a 1992 conjecture of Gomez-Larranaga and Gonzalez-Acuna, by gen…