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Extensions of continous functions in digital spaces with the Khalimsky topology
Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Mathematics.
2003 (English)Report (Other scientific)
Abstract [en]

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.
Series
U.U.D.M. report, ISSN 1101-3591 ; 2003:29
Identifiers
URN: urn:nbn:se:uu:diva-66741OAI: oai:DiVA.org:uu-66741DiVA: diva2:94652
Available from: 2004-09-03 Created: 2004-09-03

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http://www.math.uu.se/research/pub/Melin2.pdf

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Melin, Erik

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