Timeline for Posets isomorphic to their endomorphism poset

10 events

when toggle format	what		by	license	comment
Jun 30, 2019 at 15:54	comment	added	Tim Campion		For my own sanity: under GCH, what we conclude is that $\|P\|$ is uncountable, and is either a limit cardinal or the successor of a limit cardinal.
Jul 16, 2015 at 11:06	history	edited	Keith Kearnes	CC BY-SA 3.0	added 20 characters in body
Jul 16, 2015 at 7:29	vote	accept	student9909
Jul 15, 2015 at 21:28	comment	added	Joseph Van Name		I must also mention that if $\mu$ is the strong limit cardinal with $\mu\leq\|P\|\leq 2^{\mu}$, then $\mu$ is not a weakly compact cardinal since if $\mu\rightarrow(\mu)^{2}_{3}$, then $\|P\|$ would have a well-ordered or anti-well ordered chain or an antichain of cardinality $\mu$ which is a contradiction.
Jul 15, 2015 at 9:05	history	edited	Keith Kearnes	CC BY-SA 3.0	added 2 characters in body
Jul 14, 2015 at 19:17	history	edited	Keith Kearnes	CC BY-SA 3.0	added 540 characters in body
Jul 14, 2015 at 15:35	history	edited	Keith Kearnes	CC BY-SA 3.0	added 651 characters in body
Jul 14, 2015 at 14:36	history	edited	Keith Kearnes	CC BY-SA 3.0	added 19 characters in body
Jul 14, 2015 at 13:45	history	edited	Keith Kearnes	CC BY-SA 3.0	added 136 characters in body
Jul 14, 2015 at 13:30	history	answered	Keith Kearnes	CC BY-SA 3.0