2012/10/28 by Dilip Raghavan, Raghavan, Dilip
Mathematics · #Advanced Banach Space Theory #Advanced Topology and Set Theory #FOS: Mathematics #Holomorphic and Operator Theory #Logic (math.LO)
paper · pdf · doi:10.48550/arxiv.1210.7387
openalex publication_date 2012/10/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate the Tukey type of the generic ultrafilter added by the quotient P(ω× ω) / (FIN × FIN). We prove that this ultrafilter is not basically generated and yet does not have the maximal Tukey type among directed partial orders of size continuum. Moreover, any Tukey reduction from this ultrafilter to any other ultrafilter is witnessed by a Baire class one map.