Publication date: 20 June 2024
Volume: Vol 59
Issue: Svezak 1
Pages: 193-212
DOI: 10.3336/gm.59.1.09
Izvorni znanstveni članak
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
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.
Markov set-valued function, inverse limit, upper semicontinuos function, compact metric space
318147
20.6.2024.
Posjeta: 70 *