Bourbaki

Exercise 7, § 3

General Topology, IX, p. 100

Give an example of a summable but not absolutely summable family in the field Qp\mathbf{Q}_p of pp-adic numbers (cf. III, p. 84, Exercise 23) (use Exercise 24 of III, p. 84).

Solution

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Machine translation of the English, by gpt-5-6-mini. Not checked by a person. That model is a cut down version of the one the rest of this language was written by.