Abstract
This paper is concerned with dynamics in general ultrametric spaces. We prove the Fixed Point theorem, the Stability theorem, the Common Point theorem, the Local Fixed Point theorem, the Attractor theorem and we derive conditions for a mapping to be surjective. We also discuss tightly continuous mappings and prove a theorem about the transfer of the property of principal completeness by a mapping between ultrametric spaces.
Citation
Sibylla Priess-Crampe. Paulo Ribenboim. "Ultrametric dynamics." Illinois J. Math. 55 (1) 287 - 303, Spring 2011. https://doi.org/10.1215/ijm/1355927037
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