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A098001
Categorical sequence for the Lie group Sp(k) for any k > 2.
0
0, 3, 7, 10, 18
OFFSET
0,2
COMMENTS
The categorical sequence for a CW complex X is the sequence whose n-th term is the smallest m for which the Lusternik-Schnirelmann category of the m-skeleton is equal to n (or else infinity if there is no such m).
All categorical sequences begin with a_0 = 0. It can be shown that for all categorical sequences, a_{k+l} >= a_k + a_l.
REFERENCES
Cornea, Octav; Lupton, Gregory; Oprea, John; Tanre, Daniel. Lusternik-Schnirelmann category. Mathematical Surveys and Monographs, 103. American Mathematical Society, Providence, RI, 2003.
R. Nendorf, N. Scoville, J. Strom, Categorical Sequences, preprint, 2004.
FORMULA
No known formula.
CROSSREFS
Sequence in context: A041251 A042435 A042591 * A171071 A265724 A352781
KEYWORD
hard,nonn
AUTHOR
Jeff Strom (Jeff.Strom(AT)wmich.edu), Sep 08 2004
STATUS
approved