In mathematics, the Tate topology is a Grothendieck topology of the space of maximal ideals of a k-affinoid algebra, whose open sets are the admissible open subsets and whose coverings are the admissible open coverings.

References

• Conrad, Brian (2008), "Several approaches to non-Archimedean geometry", in Thakur, Dinesh S.; Savitt, David (eds.), p-adic geometry, Univ. Lecture Ser., vol. 45, Providence, R.I.: American Mathematical Society, pp. 9–63, ISBN 978-0-8218-4468-7, MR 2482345