LS-category and topological complexity of product of several manifolds

Authors

  • Karthika R Central University of Tamil Nadu Thiruvarur India
  • Renukadevi V Central University of Tamil Nadu Thiruvarur India

DOI:

https://doi.org/10.30495/jme.v18i0.2732

Keywords:

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

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.

Author Biographies

Karthika R, Central University of Tamil Nadu Thiruvarur India

Department of Mathemtics

Thiruvarur

India

Renukadevi V, Central University of Tamil Nadu Thiruvarur India

Department of Mathematics

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Published

2024-08-04

Issue

Vol. 18

Section

Vol. 18, No. 3, (2024)

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