The higher topological complexity in digital images


İS M. , KARACA İ.

APPLIED GENERAL TOPOLOGY, cilt.21, ss.305-325, 2020 (ESCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 21 Konu: 2
  • Basım Tarihi: 2020
  • Doi Numarası: 10.4995/agt.2020.13553
  • Dergi Adı: APPLIED GENERAL TOPOLOGY
  • Sayfa Sayıları: ss.305-325

Özet

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.