Real Analysis Exchange

First-return limits for functions of several variables.

James D. Shelton, Jr.

Full-text: Open access

Abstract

In this paper we begin the search for appropriate definitions of first-return continuity and first-return approachability for functions of several real variables. We do this by first reviewing the one dimensional theory and then considering several candidate definitions in higher dimensions.

Article information

Source
Real Anal. Exchange, Volume 31, Number 2 (2005), 489-514.

Dates
First available in Project Euclid: 10 July 2007

Permanent link to this document
https://projecteuclid.org/euclid.rae/1184104041

Mathematical Reviews number (MathSciNet)
MR2265790

Zentralblatt MATH identifier
1108.26014

Subjects
Primary: 26A21: Classification of real functions; Baire classification of sets and functions [See also 03E15, 28A05, 54C50, 54H05]
Secondary: 26B05: Continuity and differentiation questions

Keywords
first-return Baire one continuity approachability recoverability Darboux

Citation

Shelton, James D. First-return limits for functions of several variables. Real Anal. Exchange 31 (2005), no. 2, 489--514. https://projecteuclid.org/euclid.rae/1184104041


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References

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