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Additivity properties of topological diagonalizations

Published online by Cambridge University Press:  12 March 2014

Tomek Bartoszynski
Department of Mathematics, Boise State University, Boise, Idaho 83725, USA, E-mail:, URL:
Saharon Shelah*
Mathematics Department, Rutgers University, New Brunswick, NJ 08903, USA, E-mail:, URL:
Boaz Tsaban
Department of Mathematics and Computer Science, Bar-Ilan University, Ramat-Gan 52900, Israel, E-mail:, URL:
Institute of Mathematics, Hebrew University of Jerusalem, Givat Ram, 91904 Jerusalem, Israel


We answer a question of Just, Miller, Scheepers and Szeptycki whether certain diagonalization properties for sequences of open covers are provably closed under taking finite or countable unions.

Research Article
Copyright © Association for Symbolic Logic 2003

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