Markov-like set-valued functions on intervals and their inverse limits

Hayato Imamura

doi:10.3336/gm.53.2.10

Markov-like set-valued functions on intervals and their inverse limits

Hayato Imamura^*

^*Corresponding author for this work

School of Fundamental Science and Engineering

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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]).

Original language	English
Pages (from-to)	385-401
Number of pages	17
Journal	Glasnik Matematicki
Volume	53
Issue number	2
DOIs	https://doi.org/10.3336/gm.53.2.10
Publication status	Published - 2018

Keywords

Inverse limits
Markov maps
Markov-like functions
Upper semi-continuous functions

ASJC Scopus subject areas

Mathematics(all)

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10.3336/gm.53.2.10

Cite this

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AB - 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]).

KW - Inverse limits

KW - Markov maps

KW - Markov-like functions

KW - Upper semi-continuous functions

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ER -

Markov-like set-valued functions on intervals and their inverse limits

Abstract

Keywords

ASJC Scopus subject areas

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