• Significant correlations between age group and performance for FRs (r=0.55, p<0.001) and PDDs (r=0.56, p<0.001). 2. Truth-Value Judgment Task Methods •Participants: 4yo (18), 5yo (17), 6yo (19), 7yo (11). •Participants were told: “Cookie Monster really likes cookies, but he does NOT like onions.” They were shown pictures of (i) plates of cookies, (ii) onions, or (iii) both cookies and onions....

It is proved that equations between arrows assumed for cartesian categories are maximal in the sense that extending them with any new equation in the language of free cartesian categories collapses a cartesian category into a preorder. An analogous result holds for categories with binary products, which may lack a terminal object. The proof is based on a coherence result for cartesian categorie...

McNamara and Pylyavskyy conjectured precisely which connected skew shapes are maximal in the Schur-positivity order, which says that B ≤s A if sA − sB is Schurpositive. Towards this, McNamara and van Willigenburg proved that it suffices to study equitable ribbons, namely ribbons whose row lengths are all of length a or (a+ 1) for a ≥ 2. In this paper we confirm the conjecture of McNamara and Py...

This paper is about certain linear subspaces of Banach SN spaces (that is to say Banach spaces which have a symmetric nonexpansive linear map into their dual spaces). We apply our results to monotone linear subspaces of the product of a Banach space and its dual. In this paper, we establish several new results and also give improved proofs of some known ones in both the general and the special ...

Previous authors have considered optimal stopping problems driven by the running maximum of a spectrally negative Lévy process as well one-dimensional diffusion; see e.g. Kyprianou and Ott (2014); (2013); Alvarez Matomäki Guo Shepp (2001); Pedersen (2000); Gapeev (2007). Many aforementioned results are either implicitly or explicitly dependent on Peskir’s maximality principle, cf. (Peskir, 1998...

It is proved that equations between arrows assumed for cartesian categories are maximal in the sense that extending them with any new equation in the language of free cartesian categories collapses a cartesian category into a preorder. An analogous result holds for categories with binary products, which may lack a terminal object. The proof is based on a coherence result for cartesian categorie...