O. Guzmán

activity

20062020

most citedHow to drive our families mad

5 citations · 8 across the 5 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.LO2018★ 3 cited

P-points, MAD families and Cardinal Invariants

Osvaldo Guzman

This is the Ph.D. thesis of the author, which was written under the supervision of Michael Hrušák at UNAM. The main contributions of this thesis are the following: There is a $+$ -R…

math.LO2018

On $(1, ω_{1})$ \emph{-}weakly universal functions

Osvaldo Guzman

A function $U : [ω_{1}]^{2} ⟶ ω$ is called $(1, ω_{1})$ \emph{-weakly universal }if for every function $F:\left[ ω_{1}\right] ^{2}\longrightarrowω…

math.LO2018

There is a $+$ -Ramsey \textsf{MAD} family

Osvaldo Guzman

We answer an old question of Michael Hrušák by constructing a $+$ -Ramsey \textsf{MAD} family without the need of any additional axioms beyond $ZFC.$ We also prove that eve…

P-points, MAD families and Cardinal Invariants

On (1,ω1​)\emph{-}weakly universal functions

There is a +-Ramsey \textsf{MAD} family

On $(1, ω_{1})$ \emph{-}weakly universal functions

There is a $+$ -Ramsey \textsf{MAD} family