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A098001 Categorical sequence for the Lie group Sp(k) for any k > 2. 0
0, 3, 7, 10, 18 (list; graph; refs; listen; history; text; internal format)
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 A024330

Adjacent sequences:  A097998 A097999 A098000 * A098002 A098003 A098004

KEYWORD

hard,nonn

AUTHOR

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

STATUS

approved

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Last modified April 18 22:08 EDT 2019. Contains 322237 sequences. (Running on oeis4.)