Historic iteration with aleph_epsilon-support

Mathematics – Logic

Scientific paper

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Scientific paper

One aim of this work is to get a universe in which weak versions of Martin
axioms holds for some forcing notions of cardinality aleph_0, aleph_1 and
aleph_2 while on aleph_2 club, the ``small'' brother of diamond, holds. As a
consequence we get the consistency of ``there is no Gross space''. Another aim
is to present a case of ``Historic iteration''.

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