Abstract
Assuming (Formula presented.), we show that generalized eventually narrow sequences on a strongly inaccessible cardinal κ are preserved under a one step iteration of the Hechler forcing for adding a dominating κ-real. Moreover, we show that if κ is strongly unfoldable, (Formula presented.) and λ is a regular cardinal such that (Formula presented.), then there is a set generic extension in which (Formula presented.).
| Original language | English |
|---|---|
| Pages (from-to) | 7-14 |
| Number of pages | 8 |
| Journal | Mathematical Logic Quarterly |
| Volume | 69 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Feb 2023 |
Austrian Fields of Science 2012
- 101013 Mathematical logic
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