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Projective limit of finite rings is compact

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#limits-colimits #topological-rings
115
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existence and uniqueness of the reciprocal of a p-adic number

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#topological-groups #p-adic-number-theory #topological-rings
68
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Can the image of the absolute value of a locally compact ultrametric field contain an interval in $\mathbb{R}$?

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#topological-groups #topological-rings
51
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Showing that $T^vU$ is an open subset for all open subsets $U$

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#ring-theory #topological-groups #topological-rings
273
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Is topology of a complete ring locally compact?

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#locally-compact-groups #local-rings #topological-rings
147
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Example of Banach ring with non-closed ideal

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#topological-rings
208
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Galois theory for topological fields

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#galois-theory #topological-rings
184
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Restricted power series and tensor product

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#commutative-algebra #topological-rings #rigid-analytic-spaces
174
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Joint Continuity and Separate Continuity in Topological rings

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#general-topology #continuity #topological-rings
147
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What topologies on the ring of formal power series make it a topological ring?

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#abstract-algebra #general-topology #topological-groups #formal-power-series #topological-rings
88
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Closure of subalgebras of $C(X,\Bbb R)$.

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#functional-analysis #topological-rings
107
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Extension to an automorphism of topological fields

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#field-theory #galois-theory #topological-rings
297
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Completion of topological spaces.

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#general-topology #geometry #complete-spaces #topological-rings
89
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Can $\mathbb{C}$ be extended to a larger topological field that is also algebraically closed and complete?

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#complex-numbers #field-theory #extension-field #topological-rings
50
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References for abstract analysis

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#topological-groups #topological-vector-spaces #topological-rings

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