# Publications with H. Horowitz

#### All publications by Haim Horowitz and S. Shelah

Click the Sh:-number to get to the papers' detail page (which may include pdf's of the paper).
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number title
Sh:1067 Horowitz, H., & Shelah, S. Saccharinity with ccc. Preprint. arXiv: 1610.02706
Sh:1089 Horowitz, H., & Shelah, S. A Borel maximal eventually different family. Preprint. arXiv: 1605.07123
Sh:1090 Horowitz, H., & Shelah, S. (2019). On the non-existence of mad families. Arch. Math. Logic, 58(3-4), 325–338.
Sh:1093 Horowitz, H., & Shelah, S. (2021). Transcendence bases, well-orderings of the reals and the axiom of choice.
Sh:1094 Horowitz, H., & Shelah, S. Solovay’s inaccessible over a weak set theory without choice. Preprint. arXiv: 1609.03078
Sh:1095 Horowitz, H., & Shelah, S. A Borel maximal cofinitary group. Preprint. arXiv: 1610.01344
Sh:1097 Horowitz, H., & Shelah, S. On the classification of definable ccc forcing notions. Preprint. arXiv: 1610.07553
Sh:1103 Horowitz, H., & Shelah, S. Mad families and non-meager filters. Preprint. arXiv: 1701.02806
Sh:1113 Horowitz, H., & Shelah, S. Madness and regularity properties. Preprint. arXiv: 1704.08327
Sh:1145 Horowitz, H., & Shelah, S. \kappa Madness and Definability. Preprint. arXiv: 1805.07048
Sh:1152 Horowitz, H., & Shelah, S. On the definability of mad families of vector spaces. Preprint. arXiv: 1811.03753
Sh:1168 Horowitz, H., & Shelah, S. On the non-existence of \kappa-mad families. Preprint. arXiv: 1906.09538
Sh:1180 Hamel, C., Horowitz, H., & Shelah, S. (2020). Turing invariant sets and the perfect set property. MLQ Math. Log. Q., 66(2), 247–250.
Sh:1204 Horowitz, H., & Shelah, S. Corrected iterations. Preprint.
Sh:E95a Horowitz, H., & Shelah, S. Can you take Toernquist’s inaccessible away? Preprint. arXiv: 1605.02419
Has been incorporated (as one of two parts) into [Sh:1090]
Sh:E95b Horowitz, H., & Shelah, S. Maximal independent sets in Borel graphs and large cardinals. Preprint. arXiv: 1606.04765
Has been incorporated (as one of two parts) into [Sh:1090]