Real Analysis Exchange

A Topological Interpretation of t

Boaz Tsaban

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Abstract

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 $\mathfrak{p}=\mathfrak{t}$.

Article information

Source
Real Anal. Exchange, Volume 24, Number 1 (1998), 391-404.

Dates
First available in Project Euclid: 23 March 2011

Permanent link to this document
https://projecteuclid.org/euclid.rae/1300906035

Mathematical Reviews number (MathSciNet)
MR1691758

Zentralblatt MATH identifier
0938.03071

Subjects
Primary: 03E50: Continuum hypothesis and Martin's axiom [See also 03E57] 03E10: Ordinal and cardinal numbers 04A15

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

Citation

Tsaban, Boaz. A Topological Interpretation of t. Real Anal. Exchange 24 (1998), no. 1, 391--404. https://projecteuclid.org/euclid.rae/1300906035


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