
COMMENTS

The categorical sequence for a CW complex X is the sequence whose nth term is the smallest m for which the LusternikSchnirelmann category of the mskeleton 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. LusternikSchnirelmann category. Mathematical Surveys and Monographs, 103. American Mathematical Society, Providence, RI, 2003.
R. Nendorf, N. Scoville, J. Strom, Categorical Sequences, preprint, 2004.
