@article{Melin_2008, title={Continuous extension in topological digital spaces}, volume={9}, url={https://polipapers.upv.es/index.php/AGT/article/view/1869}, DOI={10.4995/agt.2008.1869}, abstractNote={<p>We give necessary and sufficient conditions for the existence of a continuous extension from a smallest-neighborhood space (Alexandrov space) X to the Khalimsky line. Using this result, we classify the subsets A X such that every continuous function A ! Zbcan be extended to all of X. We also consider the more general case ofbmappings X ! Y between smallest-neighborhood spaces, and prove abdigital no-retraction theorem for the Khalimsky plane.</p>}, number={1}, journal={Applied General Topology}, author={Melin, Erik}, year={2008}, month={Apr.}, pages={51–66} }