Assaf Rinot
Rock / Metal / Logic 


"The thought contains the possibility of the state of affairs which it thinks. What is thinkable is also possible."
Tel Aviv, Israel

Visit my Blog




Blurb 
.מתמטיקה עושים ביסודיות, או לא עושים בכלל


Research papers 


▷ On the consistency strength of the MilnerSauer conjecture, Ann. Pure Appl. Logic, 140(13): 110119, 2006.

▷ Aspects of singular cofinality, Contrib. Discrete Math., 2(2): 185204, 2007.

▷ Antichains in partially ordered sets of singular cofinality, Arch. Math. Logic, 46(56): 457464, 2007. 
▷ On topological spaces of singular density and minimal weight, Topology Appl., 155(3): 135140, 2007. 
▷ A topological reflection principle equivalent to Shelah's Strong Hypothesis, Proc. Amer. Math. Soc., 136(12): 44134416, 2008. 
▷ A cofinalitypreserving small forcing may introduce a special Aronszajn tree, Arch. Math. Logic, 48(8): 817823, 2009. 
▷ A relative of the approachability ideal, diamond and nonsaturation, J. Symbolic Logic, 75(3): 10351065, 2010. 
▷ On guessing generalized clubs at the successors of regulars, Ann. Pure Appl. Logic, 162(7): 566577, 2011. 
▷ Openly generated Boolean algebras and the Fodortype Reflection Principle (with S. Fuchino), Fund. Math., 212(3): 261283, 2011. 
▷ The failure of diamond on a reflecting stationary set (with M. Gitik), Trans. Amer. Math. Soc., 364(4): 17711795, 2012. 
▷ Transforming rectangles into squares, with applications to strong colorings, Adv. Math., 231(2): 10851099, 2012. 
▷ Rectangular squarebracket operation for successor of regular cardinals (with S. Todorcevic), Fund. Math., 220(2): 119128, 2013. 
▷ The Ostaszewski square, and homogeneous Souslin trees, Isr. J. Math, 199(2): 9751012, 2014. 
▷ Chain conditions of products, and weakly compact cardinals, Bull. Symbolic Logic, 20(3): 293314, 2014. 
▷ Complicated colorings, Math. Res. Lett., 21(6): 1367–1388, 2014. 
▷ Chromatic number of graphs  large gaps, Combinatorica, 35(2): 215233, 2015. 
▷ Putting a diamond inside the square, Bull. Lond. Math. Soc., 47(3): 436442, 2015. 

Surveys and Reviews 
▷ Jensen's diamond principle and its relatives, Set Theory and Its Applications, Contemp. Math., 533: 125156, Amer. Math. Soc., Providence, RI, 2011. 
▷ The search for diamonds, Bull. Symbolic Logic, 16(3): 420423, 2010. 
▷ Stevo Todorcevic’s CRMFieldsPIMS Prize Lecture, Fields Notes, 13, Winter 2013. 

