We express the classical p-adic integers (Symbol found), as a metric space, as the final coalgebra to a certain endofunctor. We realize the addition and the multiplication on (Symbol found) as the coalgebra maps from (Symbol found).
CITATION STYLE
Bhattacharya, P. (2015). The p-adic integers as final coalgebra. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9160, pp. 189–199). Springer Verlag. https://doi.org/10.1007/978-3-662-47709-0_14
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