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Banach-Alaoglu Theorem over spherically complete non-Archimedean fields

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#functional-analysis #banach-spaces #p-adic-number-theory #hahn-banach-theorem #nonarchimedian-analysis
405
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Does infinitesimals exists in $p$-adics?

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#real-analysis #p-adic-number-theory #infinitesimals #nonarchimedian-analysis
33
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Convexity for a non-Archimedean ordered field

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#real-analysis #ordered-fields #nonarchimedian-analysis
59
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Why is the generalized definition of valued field automatically non-Archimedean?

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#field-theory #absolute-value #p-adic-number-theory #valuation-theory #nonarchimedian-analysis
37
Views

Strong G-Topology on affinoid varieties

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#nonarchimedian-analysis #rigid-analytic-spaces
27
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Rational functions on an affinoid subset of $\mathbb{P}^1$

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#number-theory #nonarchimedian-analysis #rigid-analytic-spaces
125
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Reference request: Integral rigid spaces

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#algebraic-geometry #commutative-algebra #nonarchimedian-analysis #rigid-analytic-spaces
139
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Confusion about the model in Robert’s Nonstandard Analysis

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#set-theory #model-theory #nonstandard-analysis #nonstandard-models #nonarchimedian-analysis
35
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Analog of Mahler's theorem over other non archimedean fields

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#abstract-algebra #analysis #number-theory #p-adic-number-theory #nonarchimedian-analysis
57
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Over a henselian field, are any two norms on a given finite dimensional vector space equivalent?

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#number-theory #normed-spaces #valuation-theory #hensels-lemma #nonarchimedian-analysis
41
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question about a proof involving nonarchimedian fields Nakayama's lemma

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#algebraic-number-theory #nonarchimedian-analysis
184
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Converse to Hensel's Lemma

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#number-theory #algebraic-number-theory #p-adic-number-theory #nonarchimedian-analysis
44
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Soluions over ring of integers from an non archimedean field

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#number-theory #algebraic-geometry #local-field #nonarchimedian-analysis
119
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Let $（K,v）$ be character 0 field complete with discrete normalized valuation is always non Archimedean?

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#ring-theory #valuation-theory #nonarchimedian-analysis
229
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Cauchy completeness of an ordered field

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#nonstandard-analysis #ordered-fields #nonarchimedian-analysis

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