Real Analysis Exchange

Unilateral I-approximate Limits of Real Functions

Rafał Zduńczyk

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We consider sets of generalized discontinuity of real functions with respect to local systems fulfilling the intersection condition. We give a sufficient condition for countability of such set. This result is used to prove its $\mathbb{I}$-density analogue.

Article information

Real Anal. Exchange Volume 34, Number 1 (2008), 105-114.

First available in Project Euclid: 19 May 2009

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 26A03,26A15 26A03: Foundations: limits and generalizations, elementary topology of the line

local system intersection condition I-approximate continuity I-density topology


Zduńczyk, Rafał. Unilateral I -approximate Limits of Real Functions. Real Anal. Exchange 34 (2008), no. 1, 105--114.

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