S. Garti

activity

20112026

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Showing 2019Show all

4 papers · 1 filter

math.LO2019

Dowker filters and Magidor forcing

Shimon Garti, Yair Hayut

We prove that the consistency of the existence of a Dowker filter at $κ^{+}$ along with $2^{κ} = κ^{+}$ where $κ$ is regular and uncountable. Using Magidor forcing we also prove the consis…

math.LO2019

Polarized relations at singulars over successors

Shimon Garti

Erdos, Hajnal and Rado asked whether $(ℵ _{2} ℵ _{ω_{1}}) \to (ℵ _{0} ℵ _{ω_{1}})_{2}$ and whether $\binom{\aleph_{ω_1}}{\aleph_2}\rightarrow\binom{\aleph…

math.LO2019

Infinite monochromatic paths and a theorem of Erdos-Hajnal-Rado

Shimon Garti, Menachem Magidor, Saharon Shelah

We prove that if $μ > cf (μ) = ω$ and $2^{μ} = μ^{+}$ then $(μ μ ^{+}) ↛ (μμ μ ^{+} ℵ _{2})$ .

math.LO2019

On configurations concerning cardinal characteristics at regular cardinals

Omer Ben-Neria, Shimon Garti

We study the consistency and consistency strength of various configurations concerning the cardinal characteristics $\mathfrak{s}_θ,\mathfrak{p}_θ,\mathfrak{g}_θ,\mathfrak{r}_θ,\ma…