Timeline for Finite posets for which all intervals are atomic
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Apr 30, 2019 at 17:17 | comment | added | Christian Stump | @GerhardPaseman Having no join (meet) irreducible elements is the same as being atomig (coatomic), being locally branched means that there are no join (or meet) irreducible elements in any interval, which is exactly the equivalence I have given. Does that help me in finding it in the literature? | |
| Apr 30, 2019 at 15:59 | comment | added | Gerhard Paseman | It would seem that for finite posets which are lattices, locally branching means that there are no meet irreducible elements and no join irreducible elements. Do I have this right? If so, you might find an alternate characterization in terms of irreducibility. In which case, start from Birkhoff's Lattice Theory and a citation index and grep for irreducible. Gerhard "Fgrep Is A Useful Tool" Paseman, 2019.04.30. | |
| Apr 30, 2019 at 12:40 | answer | added | John Machacek | timeline score: 3 | |
| Apr 30, 2019 at 5:46 | history | edited | Christian Stump |
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| Apr 30, 2019 at 5:27 | history | asked | Christian Stump | CC BY-SA 4.0 |