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Timeline for When does HSP reduce to SPH?

Current License: CC BY-SA 4.0

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S Aug 4, 2023 at 4:10 history bounty ended CommunityBot
S Aug 4, 2023 at 4:10 history notice removed CommunityBot
Jul 27, 2023 at 20:41 comment added zeb That's right, I was just trying to get some obvious consequences out of the way. Residual smallness would also be a consequence of HSP reducing to SPHS, so there's obviously more going on in this problem...
Jul 27, 2023 at 12:40 comment added მამუკა ჯიბლაძე @NoahSchweber many thanks for the bounty!
Jul 27, 2023 at 6:05 comment added მამუკა ჯიბლაძე @zeb Not a terribly stringent restriction, is it? As I said, this must relate to the extensivity of the opposite category, which is quite a restriction, but not really forbidding
Jul 27, 2023 at 2:41 comment added zeb Hm... any such variety must be residually small, and in fact every subdirectly irreducible algebra in it must have at most countably many generators (since the variety is generated by the free algebra on countably many generators).
S Jul 27, 2023 at 2:07 history bounty started Noah Schweber
S Jul 27, 2023 at 2:07 history notice added Noah Schweber Draw attention
Mar 13, 2023 at 11:06 history edited მამუკა ჯიბლაძე CC BY-SA 4.0
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Mar 13, 2023 at 10:28 history edited მამუკა ჯიბლაძე
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Mar 13, 2023 at 8:32 history asked მამუკა ჯიბლაძე CC BY-SA 4.0