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

Hayato Imamura

Research output: Contribution to journal › Article

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 languageEnglish
Pages (from-to)385-401
Number of pages17
JournalGlasnik Matematicki
Volume53
Issue number2
DOIs
Publication statusPublished - 2018 Jan 1

Fingerprint

Set-valued Function
Inverse Limit
Interval
Generalized Inverse
Homeomorphic
Notation
Generalization

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Markov-like set-valued functions on intervals and their inverse limits. / Imamura, Hayato.

In: Glasnik Matematicki, Vol. 53, No. 2, 01.01.2018, p. 385-401.

Research output: Contribution to journal › Article

Imamura, H 2018, 'Markov-like set-valued functions on intervals and their inverse limits', Glasnik Matematicki, vol. 53, no. 2, pp. 385-401. https://doi.org/10.3336/gm.53.2.10
Imamura H. Markov-like set-valued functions on intervals and their inverse limits. Glasnik Matematicki. 2018 Jan 1;53(2):385-401. https://doi.org/10.3336/gm.53.2.10
Imamura, Hayato. / Markov-like set-valued functions on intervals and their inverse limits. In: Glasnik Matematicki. 2018 ; Vol. 53, No. 2. pp. 385-401.
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