ИСТИНА

p-adic numbers as a projective limit. Fields with absolute value, completions of a field with respect to absolute value, existence and uniqueness of completions. Equivalence of absolute values. Absolute values of the field of rational numbers, Ostrowski's theorem. Some topological properties of fields with non-archimedean absolute values. - Problem Set 2: Distance and topology in the fields of p-adic numbers. Homeomorphic models of p-adic integers, visualization of the ring of p-adic integers in SageMath.