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Results tagged with set-theory
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user 100163
forcing, large cardinals, descriptive set theory, infinite combinatorics, cardinal characteristics, forcing axioms, ultrapowers, measures, reflection, pcf theory, models of set theory, axioms of set theory, independence, axiom of choice, continuum hypothesis, determinacy, Borel equivalence relations, Boolean-valued models, embeddings, orders, relations, transfinite recursion, set theory as a foundation of mathematics, the philosophy of set theory.
1
vote
Loeb measures and non-standard hull of Banach spaces
Yes, $f:\Omega \rightarrow \hat{V}$ has a lifting to some function $F : \Omega \rightarrow V$. This is shown in section 4 of the paper "Lifting theorems in nonstandard measure theory", D. Ross, 1990: …
- 660
6
votes
What are some reasonable-sounding statements that are independent of ZFC?
"There exists a complete metric space $(X,d)$ and a Borel probability measure $\mu$ on $X$ with non-separable support."
This has been discussed elsewhere on MO (I forget where, sorry), but is shown to …