7 citations · 15 across the 7 of their papers we have counts for
7 papers · 1 filter
The iterability hierarchy above I3
Alessandro Andretta, Vincenzo Dimonte
In this paper we introduce a new hierarchy of large cardinals between I3 and I2, the iterability hierarchy, and we prove that every step of it strongly implies the ones below.
Analytic sets of reals and the density function in the Cantor space
Alessandro Andretta, Riccardo Camerlo
We study the density function of measurable subsets of the Cantor space. Among other things, we identify a universal set for subsets of in ter…
Souslin quasi-orders and bi-embeddability of uncountable structures
Alessandro Andretta, Luca Motto Ros
We provide analogues of the results from [FMR11, CMMR13] in the reference list (which correspond to the case ) for arbitrary -Souslin quasi-orders on any Polish space, for…
Lebesgue density and exceptional points
Alessandro Andretta, Riccardo Camerlo, Camillo Costantini
Work in the measure algebra of the Lebesgue measure on the Cantor space: for comeager many the set of points such that the density of at is not defined is $Σ^{0}…
The descriptive set theory of the Lebesgue density theorem
Alessandro Andretta, Riccardo Camerlo
Given an equivalence class in the measure algebra of the Cantor space, let be the set of points having density 1 in . Sets of the form are called…
Ordinary differential equations and descriptive set theory: uniqueness and globality of solutions of Cauchy problems in one dimension
Alessandro Andretta, Alberto Marcone
We study some natural sets arising in the theory of ordinary differential equations in one variable from the point of view of descriptive set theory and in particular classify them…