Glasnik Matematicki, Vol. 53, No. 2 (2018), 385-401.

MARKOV-LIKE SET-VALUED FUNCTIONS ON INTERVALS AND THEIR INVERSE LIMITS

Hayato Imamura

Faculty of Science and Engineering, Waseda University, 3-4-1 Ohkubo, Shinkuju-ku, Tokyo, 169-8555, Japan
e-mail: hayato-imamura@asagi.waseda.jp

Abstract.   We introduce Markov-like functions on intervals as a generalization of generalized Markov interval functions and define the notation of the same pattern between Markov-like functions. Then we show that two generalized inverse limits with Markov-like bonding functions having the same pattern are homeomorphic. This result gives a generalization of the results of S. Holte ([9]) and I. Banič and T. Lunder ([5]).

2010 Mathematics Subject Classification.   54F15, 54C60

Key words and phrases.   Inverse limits, upper semi-continuous functions, Markov maps, Markov-like functions

Full text (PDF) (free access)

DOI: 10.3336/gm.53.2.10

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