Timeline for subsets of $\mathbb{N}$ whose shifts have finite intersection property in density
Current License: CC BY-SA 4.0
9 events
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Nov 20, 2023 at 11:36 | comment | added | Ville Salo | For Banach density 1, you can just observe that there are arbitrarily long intervals there, taking the $k_i$ to form an interval. | |
Nov 20, 2023 at 11:30 | history | edited | HumbleStudent | CC BY-SA 4.0 |
added 40 characters in body; added 31 characters in body
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Nov 20, 2023 at 11:28 | comment | added | HumbleStudent | What about Banach density? I will also include that in the question as you reminded me. | |
Nov 20, 2023 at 11:26 | comment | added | Ville Salo | For natural density it is false. Consider any set whose prefixes are Følner in the sense that the set is eventually built from longer and longer intervals. Then your intersections don't change density. | |
Nov 20, 2023 at 11:18 | comment | added | Ville Salo | Which type of density? | |
Nov 20, 2023 at 11:07 | history | edited | gmvh | CC BY-SA 4.0 |
Improved grammar and punctuation
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Nov 20, 2023 at 11:01 | history | edited | YCor | CC BY-SA 4.0 |
edited tags, emphasized the statement and that OP not certain about it
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S Nov 20, 2023 at 11:00 | review | First questions | |||
Nov 20, 2023 at 11:07 | |||||
S Nov 20, 2023 at 11:00 | history | asked | HumbleStudent | CC BY-SA 4.0 |