Real Analysis Exchange

Completion from an Abstract Perspective

John C. Morgan II

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A general conception of a completion is developed with illustrations, primarily crafted from Euclidean material, accompanied by a comprehensive survey of characterizations of completeness encountered in analysis.

Article information

Real Anal. Exchange, Volume 41, Number 2 (2016), 233-262.

First available in Project Euclid: 30 March 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 26A03: Foundations: limits and generalizations, elementary topology of the line 54D35: Extensions of spaces (compactifications, supercompactifications, completions, etc.)
Secondary: 54D80: Special constructions of spaces (spaces of ultrafilters, etc.)

Ascoli completion compactification filter space real induction


Morgan II, John C. Completion from an Abstract Perspective. Real Anal. Exchange 41 (2016), no. 2, 233--262.

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