Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
set-theoretic axiom
|
| gptkbp:concerns |
real line
partially ordered sets order types |
| gptkbp:consistentWith |
gptkb:ZFC
|
| gptkbp:field |
gptkb:set_theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Baumgartner's axiom
|
| gptkbp:implies |
all ℵ₁-dense sets of reals are isomorphic
|
| gptkbp:introducedIn |
1973
|
| gptkbp:namedAfter |
gptkb:James_E._Baumgartner
|
| gptkbp:relatedTo |
gptkb:continuum_hypothesis
gptkb:Martin's_axiom |
| gptkbp:state |
All ℵ₁-dense subsets of the real line are order-isomorphic
|
| gptkbp:bfsParent |
gptkb:James_E._Baumgartner
|
| gptkbp:bfsLayer |
6
|