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- W1633875217 abstract "The additivity spectrum ADD(I) of an ideal I is the set of all regular cardinals kappa such that there is an increasing chain {A_alpha:alpha<kappa} in the ideal I such that the union of the chain is not in I. We investigate which set A of regular cardinals can be the additivity spectrum of certain ideals. Assume that I=B or I=N, where B denotes the sigma-ideal generated by the compact subsets of the Baire space omega^omega, and N is the ideal of the null sets. For countable sets we give a full characterization of the additivity spectrum of I: a non-empty countable set A of uncountable regular cardinals can be ADD(I) in some c.c.c generic extension iff A=pcf(A)." @default.
- W1633875217 created "2016-06-24" @default.
- W1633875217 creator A5060501499 @default.
- W1633875217 date "2010-06-09" @default.
- W1633875217 modified "2023-09-27" @default.
- W1633875217 title "Pcf theory and cardinal invariants of the reals" @default.
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