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On Sets Determined by Sequences of Quasi-Continuous Functions
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J. Wesołowska
Published/Copyright:
June 7, 2010
Abstract
The aim of the paper is to characterize those sets of points at which sequence of real functions from a given class F converges as well as sets of points of convergence to infinity of such sequences. As F we consider quasi-continuous functions and some other subclasses of Baire measurable functions.
Key words and phrases.: Sequence of functions; sets of convergence points; quasi-continuity; cliquishness; simple continuity
Received: 1999-12-01
Revised: 2000-12-15
Published Online: 2010-06-07
Published in Print: 2001-December
© Heldermann Verlag
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- On Sets Determined by Sequences of Quasi-Continuous Functions
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Keywords for this article
Sequence of functions;
sets of convergence points;
quasi-continuity;
cliquishness;
simple continuity
Articles in the same Issue
- Asymptotic Behavior of Relatively Nonexpansive Operators in Banach Spaces
- Exceptional Sets for Universally Polygonally Approximable Functions
- Some Remarks on Nonuniqueness of Minimizers for Discrete Minimization Problems
- The Nevanlinna Theorem of the Classical Theory of Moments Revisited
- Measures in Locally Compact Groups are Carried by Meager Sets
- On Sequences of Upper and Lower Semi-Quasicontinuous Functions
- Compositions of Sierpiński-Zygmund Functions and Related Combinatorial Cardinals
- Gradient-Finite Element Method for Nonlinear Neumann Problems
- On Sets Determined by Sequences of Quasi-Continuous Functions
- On Minimal Pairwise Sufficient Statistics
