11 citations · 21 across the 9 of their papers we have counts for
16 papers
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…
Equitable preference relations on infinite utility streams
Ram S. Dubey, Giorgio Laguzzi
We propose generalized versions of strong equity and Pigou-Dalton transfer principle. We study the existence and the real valued representation of social welfare relations satisfyi…
Extended Gini Index
Ram Sewak Dubey, Giorgio Laguzzi
We propose an extended version of Gini index defined on the set of infinite utility streams, where . For containing at most finitely many…
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…