Original scientific paper

https://doi.org/10.3336/gm.59.1.09

Markov set-valued functions on compact metric spaces

Iztok Banič ; (1) Faculty of Natural Sciences and Mathematics, University of Maribor, Koroška 160, SI-2000 Maribor, Slovenia, (2) Institute of Mathematics, Physics and Mechanics, Jadranska 19, SI-1000 Ljubljana, Slovenia, (3) Andrej Marušič Institute, University of Primorska, Muzejski trg 2, SI-6000 Koper, Slovenia
Matevž Črepnjak ; (1) Faculty of Natural Sciences and Mathematics, University of Maribor, Koroška 160, SI-2000 Maribor, Slovenia, (2) Faculty of Chemistry and Chemical Engineering, University of Maribor, Smetanova 17, SI-2000 Maribor, Slovenia
Teja Kac orcid.org/0000-0001-7139-7015 ; Faculty of Natural Sciences and Mathematics, University of Maribor, Koroška 160, SI-2000 Maribor, Slovenia

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Abstract

We generalize the notion of Markov functions on closed intervals \([a,b]\) to Markov set-valued functions on compact metric spaces. We also introduce when two such Markov set-valued functions follow the same pattern and show that if the Markov set-valued functions \(F:X\multimap X\) and \(G:Y\multimap Y\) follow the same pattern, then the inverse limits \(\lim_{{\multimap}}(X,F)\) and \(\lim_{\multimap}(Y,G)\) are homeomorphic.

Keywords

Markov set-valued function, inverse limit, upper semicontinuos function, compact metric space

Hrčak ID:

318147

URI

https://hrcak.srce.hr/318147

Publication date:

20.6.2024.

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