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 () and I. Banič and T. Lunder ().
- Inverse limits
- Markov maps
- Markov-like functions
- Upper semi-continuous functions
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