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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…
math.DG2008★ 6 cited
Cayley 4-form, comass, and triality isomorphisms
Mikhail G. Katz, Steven Shnider
Following an idea of Dadok, Harvey and Lawson, we apply the triality property of SO(8) to study the comass of certain self-dual 4-forms on R^8. In particular, we prove that the Cay…