The Scott topology, originating within domain theory, provides an intrinsic framework for analysing partially ordered sets, particularly directed complete partial orders (dcpo’s). In this topology, ...

The subject matter of topology are discrete invariants of topological spaces (for example smooth manifolds) and maps between them. The simplest such invariant is the winding number of a curve in the ...

Digital topology and image processing are rapidly evolving interdisciplinary fields that merge discrete mathematical frameworks with advanced computational techniques to analyse and manipulate digital ...