On the strength of Hausdorff's gap condition Export

@article{hirschorn_strength_2008, abstract = {Hausdorff's gap condition was satisfied by his original 1936 construction of an (omega-1,omega-1) gap in {P(N)/Fin.} We solve an open problem in determining whether Hausdorff's condition is actually stronger than the more modern indestructibility condition, by constructing an indestructible (omega-1,omega-1) gap not equivalent to any gap satisfying Hausdorff's condition, from uncountably many random reals.}, author = {Hirschorn, James}, citeulike-article-id = {3935824}, citeulike-linkout-0 = {http://arxiv.org/abs/0806.4732}, journal = {0806.4732}, keywords = {-, 03e05, 28e15, file-import-09-01-24, logic, primary03e40, secondarymathematics}, month = {June}, posted-at = {2009-01-24 14:53:13}, priority = {2}, title = {On the strength of Hausdorff's gap condition}, url = {http://arxiv.org/abs/0806.4732}, year = {2008} }

TY - JOUR ID - hirschorn_strength_2008 L3 - citeulike-article-id:3935824 N2 - Hausdorff's gap condition was satisfied by his original 1936 construction of an (omega-1,omega-1) gap in {P(N)/Fin.} We solve an open problem in determining whether Hausdorff's condition is actually stronger than the more modern indestructibility condition, by constructing an indestructible (omega-1,omega-1) gap not equivalent to any gap satisfying Hausdorff's condition, from uncountably many random reals. JF - 0806.4732 TI - On the strength of Hausdorff's gap condition KW - - KW - 03e05 KW - 28e15 KW - file-import-09-01-24 KW - logic KW - primary03e40 KW - secondarymathematics AU - Hirschorn, James PY - 2008/June// UR - http://arxiv.org/abs/0806.4732 ER -