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Some Aspects of Equivariant LS-category

Published 9 Feb 2015 in math.AT | (1502.02586v2)

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.

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