Gespeichert in:
| 1. Verfasser: | |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2402.00144 |
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Inhaltsangabe:
- We have revised the softness property introduced by Jörg Brendle and Haim Judah (perfect sets of random reals. Israel J. Math., 83(1-2):153-176, 1993), to present a new definition of a class of posets called $σ$-soft-linked. Our work demonstrates that these posets work well to preserve the evasion number as well as the bounding number small in generic extensions. Furthermore, we establish a connection between our concept and the Fréchet-linked notion introduced by Diego A. Mejía (Matrix iterations with vertical support restrictions. In Proceedings of the 14th1 and 15th Asian Logic Conferences, pages 213-248. World Sci. Publ., Hackensack, NJ, 2019).