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An extension problem of a connectedness preserving map between Khalimsky spaces

2016
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Filomat
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The goal of the present paper is to study an extension problem of a connected preserving (for short, CP-) map between Khalimsky (K-for brevity, if there is no ambiguity) spaces. As a generalization of a K-continuous map, for K-topological spaces the recent paper [13] develops a function sending connected sets to connected ones (for brevity, an A-map: see Definition 3.1 in the present paper). Since this map plays an important role in applied topology including digital topology, digital geometry

doi:10.2298/fil1601015h
fatcat:3gizix7hhbdd3gfe3b4zkd5xrq