A set K in the plane is basic if each continuous function f from K to the real numbers can be expressed as a sum f(x,y) = g(x)+h(y) with g and h continuous functions. Analogously we define a digital set K in the digital plane. Basic subsets of the plane were characterized by Sternfeld and Skopenkov. In this paper we prove a digital analogy of their results. Moreover we explore the properties of digital basic sets, and their possible use in image analysis.

B.04 Guest lecture

COBISS.SI-ID: 14516569In this invited plenary lecture at the conference "The 7th international summer school and conference Chaos 2008: Let's Face Chaos Through Nonlinear Dynamics" (CAMTP, University of Maribor, Slovenia, 29 June-13 July 2008) we discussed some basic topological techniques used in the study of chaotic dynamical systems. The emphasis was on the techniques of modern geometric topology, developed by our project group.

B.04 Guest lecture

COBISS.SI-ID: 14991449