Glasnik matematički, Vol. 53 No. 2, 2018.
Original scientific paper
https://doi.org/10.3336/gm.53.2.10
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
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]).
Keywords
Inverse limits; upper semi-continuous functions; Markov maps; Markov-like functions
Hrčak ID:
214481
URI
Publication date:
30.12.2018.
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