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On automorphisms of Boolean algebras embedded in P (ω)/fin

100%

Grzech M.

Fundamenta Mathematicae

1996

tom 150

nr 2

127-147

We prove that, under CH, for each Boolean algebra A of cardinality at most the continuum there is an embedding of A into P(ω)/fin such that each automorphism of A can be extended to an automorphism of P(ω)/fin. We also describe a model of ZFC + MA(σ-linked) in which the continuum is arbitrarily large and the above assertion holds true.

Fat P-sets in the Space ω*

51%

Frankiewicz R., Grzech M., Zbierski P.

Bulletin of the Polish Academy of Sciences. Mathematics

2005

tom 53

nr 2

121-129

We prove that-consistently-in the space ω* there are no P-sets with the ℂ-cc and any two fat P-sets with the ℂ⁺-cc are coabsolute.

Ograniczanie wyników

1 Bulletin of the Polish Academy of Sciences. Mathematics

1 Fundamenta Mathematicae

2 Grzech M.

1 Frankiewicz R.

1 Zbierski P.

1 2005

1 1996

Wyniki wyszukiwania

On automorphisms of Boolean algebras embedded in P (ω)/fin

Fat P-sets in the Space ω*