Fulgencio Lopez

collaborators

3 papers

math.LO2017

Forcing and Construction Schemes

Damjan Kalajdzievski, Fulgencio Lopez

We investigate forcing and independence questions relating to construction schemes. We show that adding $κ \geq ω_{1}$ Cohen reals adds a capturing construction scheme. We study the we…

math.LO2016

Banach spaces from a construction scheme

Fulgencio Lopez

We construct a Banach space $X_{ε}$ with an uncountable $ε$ -biorthogonal system but no uncountable $τ$ -biorthogonal system for $τ < ε$ . In partic…

math.LO2016

Trees and gaps from a construction scheme

Fulgencio Lopez, Stevo Todorcevic

We present natural constructions of trees and gaps using a quite general construction scheme. In particular, we solve a natural problem about $(ω_{1}, ω_{1})$ -gaps. As it is well known…