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Compositions of Sierpiński–Zygmund Functions from the Left
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F. Jordan
Published/Copyright:
June 4, 2010
Abstract
A cardinal related to compositions of Sierpińnski–Zygmund functions from the left, cleft(SZ), will be considered. We answer a question of K. Ciesielski and T. Natkaniec. In particular, we show that cl(SZ) = (2𝔠)+ if ℝ is not a union of less than 𝔠-many meager sets and 𝔠 is a limit cardinal. If 𝔠 = w1, then cl(SZ) is equal to the bounding number of 𝔠.
Key words and phrases.: Sierpiński–Zygmund functions; cardinal functions
Received: 2000-07-27
Revised: 2000-10-10
Published Online: 2010-06-04
Published in Print: 2001-June
© Heldermann Verlag
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Articles in the same Issue
- Semistable Selfdecomposable Laws on Groups
- Topological Approach to Hemivariational Inequalities with Unilateral Growth Condition
- Generalized Solutions of a Periodic Goursat Problem
- On Almost Global Existence for the Cauchy Problem for Compressible Navier-Stokes Equations in the Lp-Framework
- Compositions of Sierpiński–Zygmund Functions from the Left
- Some Modifications of Density Topologies
- On the Topological Entropy of Green Interval Maps
- On the Continuous Dependence on Parameters of Solutions of the Fourth Order Periodic Problem
- Generalized Cantor Sets and Sets of Sums of Convergent Alternating Series
