of finite products of P ( ω ) / fin
نویسندگان
چکیده
Generalizing [ShSp], for every n < ω we construct a ZFC-model where the distributivity number of r.o.(P(ω)/fin), h(n + 1), is smaller than the one of r.o.(P(ω)/fin). This answers an old problem of Balcar, Pelant and Simon (see [BaPeSi]). We also show that both of Laver and Miller forcing collapse the continuum to h(n) for every n < ω, hence by the first result, consistently they collapse it below h(n).
منابع مشابه
The distributivity numbers of finite products of P(ω)/fin
Generalizing [ShSp], for every n < ω we construct a ZFC-model where h(n), the distributivity number of r.o.(P(ω)/fin)n, is greater than h(n+ 1). This answers an old problem of Balcar, Pelant and Simon (see [BaPeSi]). We also show that both Laver and Miller forcings collapse the continuum to h(n) for every n < ω, hence by the first result, consistently they collapse it below h(n). Introduction. ...
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