A098001 Categorical sequence for the Lie group Sp(k) for any k > 2.

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.

Links

Table of n, a(n) for n=0..4.

Formula

No known formula.

Crossrefs

Sequence in context: A041251 A042435 A042591 * A171071 A265724 A352781

Adjacent sequences: A097998 A097999 A098000 * A098002 A098003 A098004

Keyword

hard,nonn

Author

Jeff Strom (Jeff.Strom(AT)wmich.edu), Sep 08 2004

Status

approved