| Autor: |
Chodounsk��, David, Fischer, Vera, Greb��k, Jan |
| Rok vydání: |
2018 |
| Předmět: |
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| DOI: |
10.48550/arxiv.1808.05930 |
| Popis: |
We investigate maximal free sequences in the Boolean algebra $\mathcal{P}(��)/\mathrm{fin}$, as defined by D. Monk. We provide some information on the general structure of these objects and we are particularly interested in the minimal cardinality of a free sequence, a cardinal characteristic of the continuum denoted $\mathfrak{f}$. Answering a question of Monk, we demonstrate the consistency of $��_1 = \mathfrak{i} = \mathfrak{f} < \mathfrak{u} = ��_2$. In fact, this consistency is demonstrated in the model of S. Shelah for $\mathfrak{i} < \mathfrak{u}$. Our paper provides a streamlined and mostly self contained presentation of this construction. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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