H. Horowitz

activity

20162019

most citedMadness and regularity properties

3 citations · 4 across the 3 of their papers we have counts for

collaborators

4 papers

math.LO2019

On the non-existence of $κ$ -mad families

Haim Horowitz, Saharon Shelah

Starting from a model with a Laver-indestructible supercompact cardinal $κ$ , we construct a model of $Z F + D C_{κ}$ where there are no $κ$ -mad families.

math.LO2019★ 1 cited

Compact Sets of Baire Class One Functions and Maximal Almost Disjoint Families

Haim Horowitz, Stevo Todorcevic

We provide a proof that analytic almost disjoint families of infinite sets of integers cannot be maximal using a result of Bourgain about compact sets of Baire class one functions.…

math.LO2017★ 3 cited

Madness and regularity properties

Haim Horowitz, Saharon Shelah

Starting from an inaccessible cardinal, we construct a model of $Z F + D C$ where there exists a mad family and all sets of reals are $Q$ -measurable for $ω^{ω}$ -bounding sufficie…

math.LO2016

A Borel maximal eventually different family

Haim Horowitz, Saharon Shelah

We construct a Borel maximal eventually different family.

On the non-existence of κ-mad families

Compact Sets of Baire Class One Functions and Maximal Almost Disjoint Families

Madness and regularity properties

A Borel maximal eventually different family

On the non-existence of $κ$ -mad families