Real Analysis Exchange

Applications of the Baire Category Theorem

Sara Hawtrey Jones

Full-text: Open access

Abstract

A history of the Baire Category Theorem and numerous examples of its use in real analysis.

Article information

Source
Real Anal. Exchange Volume 23, Number 2 (1999), 363-394.

Dates
First available: 14 May 2012

Permanent link to this document
http://projecteuclid.org/euclid.rae/1337001353

Mathematical Reviews number (MathSciNet)
MR1640007

Subjects
Primary: 26A18: Iteration [See also 37Bxx, 37Cxx, 37Exx, 39B12, 47H10, 54H25]
Secondary: 26A15: Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) {For properties determined by Fourier coefficients, see 42A16; for those determined by approximation properties, see 41A25, 41A27}

Keywords
Baire Category Theorem typical typical continuous functions ω-limit sets level sets intersection patterns

Citation

Jones, Sara Hawtrey. Applications of the Baire Category Theorem. Real Analysis Exchange 23 (1999), no. 2, 363--394. http://projecteuclid.org/euclid.rae/1337001353.


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