A series of complexes Qp indexed by all primes p is constructed with cat Qp = 2 and cat Qp × Sn = 2 for either n ≥ 2 or n = 1 and p = 2. This disproves Ganea's conjecture on Lusternik-Schnirelmann (LS) category.
!!!All Science Journal Classification (ASJC) codes
- 数学 (全般)