A lower bound for higher topological complexity of real projective space

TL;DR

This paper derives an explicit formula providing the best possible lower bound for the higher topological complexity of real projective spaces based on mod 2 cohomology.

Contribution

It introduces a precise formula for the lower bounds of TC_k(P^n), advancing understanding of the topological complexity of real projective spaces.

Findings

Explicit formula for lower bounds of TC_k(P^n)

Improved understanding of topological complexity in real projective spaces

Based on mod 2 cohomology calculations

Abstract

We obtain an explicit formula for the best lower bound for the higher topological complexity, TC_k(P^n), of real projective space implied by mod 2 cohomology.