Markov-like set-valued functions on finite graphs and their inverse limits

Research output: Contribution to journalArticle

Abstract

We introduce Markov-like functions on finite graphs and define the notation of the same pattern between those Markov-like functions. Then we show that two generalized inverse limits with Markov-like bonding functions on finite graphs having the same pattern are homeomorphic. This result gives a generalization of our recent result [6].

Original languageEnglish
Pages (from-to)175-186
Number of pages12
JournalTopology and its Applications
Volume264
DOIs
Publication statusPublished - 2019 Sep 1

Fingerprint

Set-valued Function
Inverse Limit
Finite Graph
Generalized Inverse
Homeomorphic
Notation

Keywords

  • Inverse limits
  • Markov maps
  • Set-valued functions
  • Upper semi-continuous

ASJC Scopus subject areas

  • Geometry and Topology

Cite this

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

In: Topology and its Applications, Vol. 264, 01.09.2019, p. 175-186.

Research output: Contribution to journalArticle

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