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Compositions of Sierpiński-Zygmund Functions and Related Combinatorial Cardinals

Published/Copyright: June 7, 2010
Journal of Applied Analysis
From the journal Journal of Applied Analysis Volume 7 Issue 2

Abstract

A cardinal related to compositions of Sierpiński-Zygmund functions will be considered. A combinatorial characterization of the cardinal is given and is used to answer some questions of K. Ciesielski and T. Natkaniec. It is shown that the bounding number of the continuum may be strictly smaller than continuum.

Key words and phrases.: Sierpiński-Zygmund functions; cardinal functions; singular cardinals
Received: 2000-11-27
Revised: 2001-04-14
Published Online: 2010-06-07
Published in Print: 2001-December

© Heldermann Verlag

Articles in the same Issue

  1. Asymptotic Behavior of Relatively Nonexpansive Operators in Banach Spaces
  2. Exceptional Sets for Universally Polygonally Approximable Functions
  3. Some Remarks on Nonuniqueness of Minimizers for Discrete Minimization Problems
  4. The Nevanlinna Theorem of the Classical Theory of Moments Revisited
  5. Measures in Locally Compact Groups are Carried by Meager Sets
  6. On Sequences of Upper and Lower Semi-Quasicontinuous Functions
  7. Compositions of Sierpiński-Zygmund Functions and Related Combinatorial Cardinals
  8. Gradient-Finite Element Method for Nonlinear Neumann Problems
  9. On Sets Determined by Sequences of Quasi-Continuous Functions
  10. On Minimal Pairwise Sufficient Statistics
https://doi.org/10.1515/JAA.2001.243
Keywords for this article
Sierpiński-Zygmund functions; cardinal functions; singular cardinals

Articles in the same Issue

  1. Asymptotic Behavior of Relatively Nonexpansive Operators in Banach Spaces
  2. Exceptional Sets for Universally Polygonally Approximable Functions
  3. Some Remarks on Nonuniqueness of Minimizers for Discrete Minimization Problems
  4. The Nevanlinna Theorem of the Classical Theory of Moments Revisited
  5. Measures in Locally Compact Groups are Carried by Meager Sets
  6. On Sequences of Upper and Lower Semi-Quasicontinuous Functions
  7. Compositions of Sierpiński-Zygmund Functions and Related Combinatorial Cardinals
  8. Gradient-Finite Element Method for Nonlinear Neumann Problems
  9. On Sets Determined by Sequences of Quasi-Continuous Functions
  10. On Minimal Pairwise Sufficient Statistics
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