LS-category and topological complexity of product of several manifolds

Karthika R, Renukadevi V

Abstract


The LS-category and the topological complexity are some homotopy invariants of a topological space, and the topological complexity is a close relative of the LS-category. In this article, we compute the LS-category, the lower and upper bounds for topological complexity of certain manifolds and their products based on known results.

Keywords


LS-category; topological complexity; complex Grassmann manifold; complex flag manifold, generalized Dold spaces

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