Extensions of continous functions in digital spaces with the Khalimsky topology
2003 (English)Report (Other scientific)
The digital space Z^n equipped with Efim Khalimsky's topology is a connected space. We study continuous functions Z^n -> Z, from a subset of Khalimsky n-space to the Khalimsky line. We give necessary and sufficient conditions for such a function to be extendable to a continuous function Z^n -> Z. We classify the subsets A of the digital plane such that every continuous function A -> Z can be extended to a continuous function on the whole plane.
Place, publisher, year, edition, pages
2003. , 15 s. p.
, U.U.D.M. report, ISSN 1101-3591 ; 2003:29
IdentifiersURN: urn:nbn:se:uu:diva-66741OAI: oai:DiVA.org:uu-66741DiVA: diva2:94652