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Timeline for Relations between two tower numbers

Current License: CC BY-SA 4.0

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Jan 5, 2020 at 9:05 comment added Taras Banakh Thank you for your comment due to which I have understood that we (with Bardyla) introduced a wrong defintion of $\hat t$. In that definition the cardinality should be changed by cofinality.
Jan 2, 2020 at 12:43 comment added Joel David Hamkins I agree, I have changed only the cardinality and not the cofinality of the tower. But you defined regular tower in terms of its cardinality, not cofinality. I found that strange, and this is why I posted this answer. Of course, the cofinality of a tower will always be a regular cardinal.
Jan 2, 2020 at 9:05 comment added Taras Banakh Unfortunately, your proof is not clear to me. If you create a tower on the base of a tower $T$ inserting new sets, then you do not change the cofinality of that tower. Consequently, the cofinality of the new tower $T^*$ is equal to the cofinality of the tower $T$ and this does not produce a regular tower. Or I do not see something important?
Dec 27, 2019 at 10:18 history edited Joel David Hamkins CC BY-SA 4.0
added 16 characters in body
Dec 27, 2019 at 10:10 history answered Joel David Hamkins CC BY-SA 4.0