Inverse Limits with Generalized Markov Interval Functions

In 2002 Markov interval maps were introduced by S. Holte. It was shown that any two inverse limits with Markov interval bonding maps with the same pattern were homeomorphic. In this article we introduce generalized Markov interval functions, which are a generalization of Markov interval maps to set-...

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Bibliographic Details
Published in:Bulletin of the Malaysian Mathematical Sciences Society 2016-04, Vol.39 (2), p.839-848
Main Authors: Banič, Iztok, Lunder, Tjaša
Format: Article
Language:English
Subjects:
Applications of Mathematics
Bonding
Generalized inverse
Markov processes
Mathematics
Mathematics and Statistics
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Summary:In 2002 Markov interval maps were introduced by S. Holte. It was shown that any two inverse limits with Markov interval bonding maps with the same pattern were homeomorphic. In this article we introduce generalized Markov interval functions, which are a generalization of Markov interval maps to set-valued functions, and show that any two generalized inverse limits with generalized Markov interval bonding functions with the same pattern are homeomorphic.
ISSN:0126-6705
2180-4206
DOI:10.1007/s40840-015-0187-0