Pathway XXIII

vₚValuations and local fields

The p-adic valuation counts factors of p. Nested balls make a totally different metric.

1. 01p-adic valuationsv_p(n) is the exponent of p in n. The p-adic metric says p^k is small when k is large.4 min
2. 02Local fieldsComplete the rationals for the p-adic metric. ℚₚ is a local field: one prime, totally.4 min