Sh:538

• Shelah, S. Historic iteration with \aleph_\varepsilon-support. Preprint. arXiv: math/9607227
• Abstract:
  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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@article{Sh:538,
 author = {Shelah, Saharon},
 title = {{Historic iteration with $\aleph_\varepsilon$-support}},
 note = {\href{https://arxiv.org/abs/math/9607227}{arXiv: math/9607227}},
 arxiv_number = {math/9607227}
}