Real Analysis Exchange

Completion from an Abstract Perspective

John C. Morgan II

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

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

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

Dates
First available in Project Euclid: 30 March 2017

Permanent link to this document
https://projecteuclid.org/euclid.rae/1490839328

Mathematical Reviews number (MathSciNet)
MR3597318

Zentralblatt MATH identifier
06848926

Subjects
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.)

Keywords
Ascoli completion compactification filter space real induction

Citation

Morgan II, John C. Completion from an Abstract Perspective. Real Anal. Exchange 41 (2016), no. 2, 233--262. https://projecteuclid.org/euclid.rae/1490839328


Export citation