Explicit motion planning in digital projective product spaces

Authors

SEHER FİŞEKCİ
İSMET KARACA

DOI

10.55730/1300-0098.3328

Abstract

We introduce digital projective product spaces based on Davis' projective product spaces. We determine an upper bound for the digital LS-category of digital projective product spaces. In addition, we obtain an upper bound for the digital topological complexity of these spaces through an explicit motion planning construction, which shows digital perspective validity of results given by S. Fişekci and L. Vandembroucq. We apply our outcomes on specific spaces in order to be more clear.

Keywords

LS-category, topological complexity, motion planning, digital projective product spaces, digital topology

First Page

3201

Last Page

3222

Recommended Citation

FİŞEKCİ, SEHER and KARACA, İSMET (2022) "Explicit motion planning in digital projective product spaces," Turkish Journal of Mathematics: Vol. 46: No. 8, Article 10. https://doi.org/10.55730/1300-0098.3328
Available at: https://journals.tubitak.gov.tr/math/vol46/iss8/10