## Real Analysis Exchange

- Real Anal. Exchange
- Volume 25, Number 2 (1999), 817-828.

### On A.C. Limits and Monotone Limits of Sequences of Jump Functions

#### Abstract

The a.c. limits (introduced by Császár and Laczkovich) and the monotone limits of sequences of functions having everywhere finite unilateral limits are investigated.

#### Article information

**Source**

Real Anal. Exchange, Volume 25, Number 2 (1999), 817-828.

**Dates**

First available in Project Euclid: 3 January 2009

**Permanent link to this document**

https://projecteuclid.org/euclid.rae/1230995417

**Mathematical Reviews number (MathSciNet)**

MR1778535

**Zentralblatt MATH identifier**

1013.26004

**Subjects**

Primary: 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} 26A21: Classification of real functions; Baire classification of sets and functions [See also 03E15, 28A05, 54C50, 54H05] 26A99: None of the above, but in this section

**Keywords**

upper semicontinuity decreasing sequences of functions $B_1^*$ class a.c. convergence jump function

#### Citation

Grande, Zbigniew. On A.C. Limits and Monotone Limits of Sequences of Jump Functions. Real Anal. Exchange 25 (1999), no. 2, 817--828. https://projecteuclid.org/euclid.rae/1230995417