TY - JOUR
AU - Melin, Erik
PY - 2008/04/01
Y2 - 2024/06/15
TI - Continuous extension in topological digital spaces
JF - Applied General Topology
JA - Appl. Gen. Topol.
VL - 9
IS - 1
SE -
DO - 10.4995/agt.2008.1869
UR - https://ojs.upv.es/index.php/AGT/article/view/1869
SP - 51-66
AB - <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>
ER -