11 citations · 23 across the 10 of their papers we have counts for
13 papers · 1 filter
Mathias and Silver forcing parametrized by density
Giorgio Laguzzi, Heike Mildenberger, Brendan Stuber-Rousselle
We define and investigate versions of Silver and Mathias forcing with respect to lower and upper density. We focus on properness, Axiom A, chain conditions, preservation of cardina…
On the Representation and Construction of Equitable Social Welfare Orders
Ram Sewak Dubey, Giorgio Laguzzi, Francesco Ruscitti
This paper examines the representation and explicit description of social welfare orders on infinite utility streams. It is assumed that the social welfare orders under investigati…
Laver Trees in the Generalized Baire Space
Yurii Khomskii, Marlene Koelbing, Giorgio Laguzzi +1
We prove that any suitable generalization of Laver forcing to the space , for uncountable regular , necessarily adds a Cohen -real. We also study a dichotomy and an ide…
Some considerations on Amoeba forcing notions
Giorgio Laguzzi
In this paper we analyse some notions of amoeba for tree forcings. In particular we introduce an amoeba-Silver and prove that it satisfies quasi pure decision but not pure decision…
Uncountable trees and Cohen -reals
Giorgio Laguzzi
We investigate some versions of amoeba for tree-forcings in the generalized Cantor and Baire spaces. This answers [10, Question 3.20] and generalizes a line of research that in the…
Generalized Silver and Miller measurability
Giorgio Laguzzi
We present some results about the burgeoning research area concerning set theory of the kappa-reals. We focus on some notions of measurability coming from generalizations of Silver…