A Topological Interpretation of t
| Autor: | Boaz Tsaban |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 1998 |
| Předmět: |
Discrete mathematics
small sets Pure mathematics $\ft$ Infinitary combinatorics Mathematics::General Topology Interpretation (model theory) Mathematics::Logic 03E10 04A15 $\p$ $\lambda$-sets Geometry and Topology $\g$-cover infinitary combinatorics Mathematics::Representation Theory Analysis 03E50 Mathematics |
| Zdroj: | Real Anal. Exchange 24, no. 1 (1998), 391-404 |
| Popis: | 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 $\mathfrak{p}=\mathfrak{t}$. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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