In mathematics, the Tate topology is a
Grothendieck topology of the space of
maximal ideals of a
''k''-affinoid algebra, whose
open set
In mathematics, open sets are a generalization of open intervals in the real line.
In a metric space (a set along with a distance defined between any two points), open sets are the sets that, with every point , contain all points that are suf ...
s are the
admissible open subsets and whose coverings are the admissible
open covering
In mathematics, and more particularly in set theory, a cover (or covering) of a set X is a collection of subsets of X whose union is all of X. More formally, if C = \lbrace U_\alpha : \alpha \in A \rbrace is an indexed family of subsets U_\alpha ...
s.
References
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Algebraic geometry
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