Explicit motion planning in digital projective product spaces

Autor:	Fişekci, Seher, Karaca, İsmet
Rok vydání:	2022
Předmět:	digital topology Topological Complexity General Mathematics digital projective product spaces Mathematics - Algebraic Topology motion planning LS-category
Zdroj:	Turkish Journal of Mathematics. 46:3201-3222
ISSN:	1300-0098
DOI:	10.55730/1300-0098.3328
Popis:	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. Fi?sekci? and L. Vandembroucq. We apply our outcomes on specific spaces in order to be more clear. Scientific and Technological Research Council of Turkey [TUBITAK- 2211/A] The authors gratefully thank the anonymous referees for the valuable comments and constructive suggestions. The Scientific and Technological Research Council of Turkey granted the first author a fellowship (TUBITAK- 2211/A) .
Databáze:	OpenAIRE
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