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On constructing completions

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Publication:5718698
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DOI10.2178/jsl/1122038923zbMath1099.03044OpenAlexW2092847400WikidataQ61835223 ScholiaQ61835223MaRDI QIDQ5718698

Laura Crosilla, Hajime Ishihara, Peter M. Schuster

Publication date: 16 January 2006

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.605.7818

zbMATH Keywords

metric spacecompletionsconstructive set theoryDedekind cutsDedekind reals


Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Nonclassical and second-order set theories (03E70) Other constructive mathematics (03F65)


Related Items

Are there enough injective sets?, Binary refinement implies discrete exponentiation, Generalized geometric theories and set-generated classes, The shrinking principle and the axiom of choice, Refinement is equivalent to Fullness, On the constructive Dedekind reals, The Hahn-Banach theorem by disjunction elimination, Problems, solutions, and completions



Cites Work

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  • Constructive metrisability in point-free topology.
  • Some points in formal topology.
  • Independence results around constructive ZF
  • The continuum as a formal space
  • The fundamental theorem of algebra: a constructive development without choice.
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