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1998/1999 A Topological Interpretation of t
Boaz Tsaban
Real Anal. Exchange 24(1): 391-404 (1998/1999).


Hurewicz found connections between some topological notions and the combinatorial cardinals $\mathfrak{b}$ and $\mathfrak{d}$. Recɫaw gave topological meaning to the definition of the cardinal $\mathfrak{p}$. We extend the picture with a topological interpretation of the cardinal $\mathfrak{t}$. We compare our notion to the one related to $\mathfrak{p}$, and to some other classical notions. This sheds new light on the famous open problem whether $\mathfrak{p}=\mathfrak{t}$.


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Boaz Tsaban. "A Topological Interpretation of t." Real Anal. Exchange 24 (1) 391 - 404, 1998/1999.


Published: 1998/1999
First available in Project Euclid: 23 March 2011

zbMATH: 0938.03071
MathSciNet: MR1691758

Primary: 03E10 , 03E50 , 04A15

Keywords: $\ft$ , $\g$-cover , $\lambda$-sets , $\p$ , infinitary combinatorics , small sets

Rights: Copyright © 1998 Michigan State University Press

Vol.24 • No. 1 • 1998/1999
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