Some Aspects of Equivariant LS-category

Abstract

We study the lower bounds and upper bounds for LS-category and equivariant LS-category. In particular we compute both invariants for torus manifolds. There are some examples to show the sharpness of conditions in the theorems. Moreover the equivariant LS-category of the product space is discussed and counterexamples of some previous results are given.

23 pages, 5 figures, some minor changes

References in corpus (3)

• Equivariant topological complexity
• A class of torus manifolds with nonconvex orbit space
• Irreducible triangulations of surfaces with boundary

Cited by in corpus (4)

• Higher equivariant and invariant topological complexity
• Maps of degree one, relative LS category and higher topological complexities
• Equivariant category and Topological complexity of wedges
• An upper bound for higher topological complexity and higher strongly equivariant complexity