scientific article

zbMath0702.12003MaRDI QIDQ3999309

Niel Shell

Publication date: 17 September 1992

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

placesembeddingcompletenessextensionabsolute valuesextensions of valuationslinear fieldsnormed fieldsconnected fieldsdisconnected fieldsexistence of field topologieslattice of ring topologieslocally bounded fieldsnear valuationstrictly minimal fields

Mathematics Subject Classification ID

Topological and ordered rings and modules (16W80) Normed fields (12J05) Valued fields (12J10) General valuation theory for fields (12J20) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to field theory (12-01) Research exposition (monographs, survey articles) pertaining to field theory (12-02) Topological fields (12Jxx)

Related Items (18)

The maximum ring topology on the rational number field among those for which the sequence \(1/n\) converges to zero. ⋮ Continuity of roots for polynomials over valued fields ⋮ Seminormed spaces ⋮ Minimal non-totally minimal topological rings ⋮ An example of a nontrivial ring topology on the algebraic closure of a finite field ⋮ Discrete rings ⋮ Topological differential fields ⋮ Unnamed Item ⋮ Lacunar ring topologies and maximum ring topologies with a prescribed convergent sequence ⋮ Summary on non-Archimedean valued fields ⋮ A Completion of $$\mathbb{Z}$$ is a Field ⋮ Extending valuations to the field of rational functions using pseudo-monotone sequences ⋮ A few remarks on boundedness in topological modules and topological groups ⋮ The field of rational numbers is algebraically closed in some of its topological completions ⋮ Topological completions of the field of rational numbers which consist of Liouville numbers and rational numbers ⋮ Extending homomorphisms of dense projective subplanes by continuity ⋮ Direct topologies from discrete rings. II ⋮ Direct topologies from discrete rings. III

This page was built for publication: