Locally compact field

id: locally-compact-field-243-13967439
title: Locally compact field
text: In algebra, a locally compact field is a topological field whose topology forms a locally compact Hausdorff space. These kinds of fields were originally introduced in p-adic analysis since the fields Q p are locally compact topological spaces constructed from the norm | ⋅ | p on Q . The topology is essential because it allows one to construct analogues of algebraic number fields in the p-adic context.
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Locally_compact_field
date created:
date modified: 2024-02-14T11:43:36Z
main entity: {"identifier":"Q6664668","url":"https://www.wikidata.org/entity/Q6664668"}
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fields total: 13
integrity: 13

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