A modified Schnirelmann density

ON THE SCHNIRELMANN DENSITY OF k-FREE INTEGERS

Lusternik - Schnirelmann Theory for a Morse Decomposition

Let ϕ t be a continuous flow on a metric space X and I be an isolated invariant set

Lusternik-schnirelmann Cocategory

We introduce a new deenition of the (Lusternik-Schnirelmann) co-category of a CW complex X. This is accomplished by producing a dual of the fat wedge called the thin product. One then looks at fac-torizations of the fold map through the thin product analogously to the Whitehead deenition of category. We investigate the relationship between this deenition and the rational cocategory introduced b...

Lusternik-Schnirelmann category of Orbifolds

The idea is to generalize to the case of orbifolds the classical Lusternik-Schnirelmann theory. This paper defines a notion of LS-category for orbifolds. We show that some of the classical estimates for the regular category have their analogue in the case of orbifolds. We examine the topic in some detail using a mixture of approaches from equivariant theory and foliations. MSC: 55M30; 57R30

Estimating the discrete Lusternik–Schnirelmann category

Let K be a simplicial complex and suppose that K collapses onto L. Define n to be 1 minus the minimum number of collapsible sets it takes to cover L. Then the discrete Lusternik–Schnirelmann category of K is the smallest n taken over all such L. In this paper, we give an algorithm which yields an upper bound for the discrete category. We show our algorithm is correct and give several bounds for...