Timeline for Does every locally finite acyclic directed set embed into a linear order locally isomorphic to the integers? (Edit: extend, not merely embed.)
Current License: CC BY-SA 3.0
6 events
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| Sep 25, 2013 at 19:48 | comment | added | Ben | Joel, I added an edit at the bottom adjusting the question... but left the rest alone for comprehensibility. | |
| Sep 25, 2013 at 18:48 | comment | added | Joel David Hamkins | That is a more reasonable question, to extend it to such a relation without adding any new points. I'll give it some thought... | |
| Sep 25, 2013 at 18:10 | comment | added | Ben | thanks, this clarifies things... the way I described the problem turns out to be trivial. What I was actually trying to do was extend the locally finite acyclic relation to a linear relation locally isomorphic to the integers except for possibly having a unique minimal and/or maximal element. Do you know if this is possible? | |
| Sep 25, 2013 at 13:14 | history | edited | Joel David Hamkins | CC BY-SA 3.0 |
deleted 67 characters in body
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| Sep 25, 2013 at 12:59 | history | edited | Joel David Hamkins | CC BY-SA 3.0 |
added 23 characters in body
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| Sep 25, 2013 at 12:53 | history | answered | Joel David Hamkins | CC BY-SA 3.0 |