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Generalized inverse limits with Markov set-valued functions on finite graphs

Hayato Imamura ⟨hayato-imamura@asagi.waseda.jp⟩

Abstract:

In this talk, we introduce definitions of Markov set-valued functions on finite graphs and the same pattern between two Markov set-valued functions. These functions are defined using the framework of cell complexes. They allow for infinite Markov partitions and have graphs that may contain 2-cells. We also show that two generalized inverse limits with bonding functions that are Markov set-valued functions following the same pattern are homeomorphic.

This is joint work with E. Matsuhashi and Y. Oshima.

Scheduled for: 2025-03-08 10:20 AM: Hayato Imamura (virtual) in Forbes 2070A

Status: Accepted

Collection: Continuum Theory

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