An example of a nontrivial topologization of the field of rational numbers. Complete locally bounded fields

DOI10.1090/trans2/073/08zbMath0187.00601OpenAlexW4255234157MaRDI QIDQ5580968

A. F. Mutylin

Publication date: 1968

Published in: Fourteen Papers on Algebra, Topology, Algebraic and Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/trans2/073/08

Mathematics Subject Classification ID

Topological rings and modules (13J99) Topological fields (12J99)

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The maximum ring topology on the rational number field among those for which the sequence \(1/n\) converges to zero., Connected and disconnected fields, Gruppentopologien auf nichtabelschen abzählbaren Gruppen, Lacunar ring topologies and maximum ring topologies with a prescribed convergent sequence, Ringtopologien auf \(\mathbb{Z}\) und \(\mathbb{Q}\), Charakterisierung der lokalbeschränkten Ringtopologien auf globalen Körpern. (Charactrization of locally bounded ring topologies on global fields), Locally bounded topologies on Euclidean rings, Locally bounded topologies on some Dedekind rings, Bounded and relatively bounded sets