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We introduce the idea of a coherent adequate set of models, which can be used as side conditions in forcing. As an application we define a forcing poset which adds a square sequence on ω₂ using finite conditions.
John Krueger. "Coherent adequate sets and forcing square." Fundamenta Mathematicae 224.3 (2014): 279-300. <http://eudml.org/doc/282980>.
@article{JohnKrueger2014, abstract = {We introduce the idea of a coherent adequate set of models, which can be used as side conditions in forcing. As an application we define a forcing poset which adds a square sequence on ω₂ using finite conditions.}, author = {John Krueger}, journal = {Fundamenta Mathematicae}, keywords = {adequate set; coherent adequate set; models as side conditions; square sequence}, language = {eng}, number = {3}, pages = {279-300}, title = {Coherent adequate sets and forcing square}, url = {http://eudml.org/doc/282980}, volume = {224}, year = {2014}, }
TY - JOUR AU - John Krueger TI - Coherent adequate sets and forcing square JO - Fundamenta Mathematicae PY - 2014 VL - 224 IS - 3 SP - 279 EP - 300 AB - We introduce the idea of a coherent adequate set of models, which can be used as side conditions in forcing. As an application we define a forcing poset which adds a square sequence on ω₂ using finite conditions. LA - eng KW - adequate set; coherent adequate set; models as side conditions; square sequence UR - http://eudml.org/doc/282980 ER -