TY - JOUR
AU - Bouassida, Ezzeddine
PY - 2008/10/01
Y2 - 2024/07/23
TI - The Jordan curve theorem in the Khalimsky plane
JF - Applied General Topology
JA - Appl. Gen. Topol.
VL - 9
IS - 2
SE -
DO - 10.4995/agt.2008.1805
UR - https://polipapers.upv.es/index.php/AGT/article/view/1805
SP - 253-262
AB - <p>The connectivity in Alexandroff topological spaces is equivalent to the path connectivity. This fact gets some specific properties to Z<sup>2</sup>, equipped with the Khalimsky topology. This allows a sufficiently precise description of the curves in Z<sup>2</sup> and permit to prove a digital Jordan curve theorem in Z<sup>2</sup>.</p>
ER -