The higher topological complexity in digital images
Articles > Article · 2020
Authors: Melih İS, İsmet KARACA
Applied General Topology, Refereed Journals of Other Institutions, International, Emerging Sources Citation Index (ESCI), 2020, vol 21, pp 305-305
Summary
Y. Rudyak develops the concept of the topological complexity TC(X) defined by M. Farber. We study this notion in digital images by using the fundamental properties of the digital homotopy. These properties can also be useful for the future works in some applications of algebraic topology besides topological robotics. Moreover, we show that the cohomological lower bounds for the digital topological complexity TC(X, kappa) do not hold.