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Results tagged with large-cardinals
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user 22247
2
votes
0
answers
450
views
large cardinal tree properties as properties of sheaves
As follows from this talk Large Properties for Small Cardinals, p.7,p.4 http://www2.dm.unito.it/paginepersonali/viale/SEMINARS-TORINO/Fontanella-Torino-19.1.2012.pdf, the definitions of weakly compact …
- 468
4
votes
Accepted
Large cardinals without the ambient set theory?
But anyway, my point is this: just look at ON and totally forget that is the spine of V, and see it as a system of ordered numbers. Now axiomatize what you see, much in the same way as you axiomatize …
- 468
2
votes
0
answers
231
views
a partial order not dense iff a measurable exists
For $\kappa>0$ a regular cardinal, let $Ht_\kappa$ denote the following partial quasi-order:
(i) elements(objects) of $Ht_\kappa$ are classes X of sets of size $\kappa$
with the property that,
($<_\ …
- 468