Tukey order among ideals

J He, M Hrušák, D Rojas-Rebolledo… - The Journal of Symbolic …, 2021 - cambridge.org
Tukey order in the class of F ideals of subsets of . We show that no nontrivial F ideal is Tukey
below a G ideal … We introduce the notions of flat ideals and gradually flat ideals. We prove a …

Tukey order, calibres and the rationals

P Gartside, A Mamatelashvili - Annals of Pure and Applied Logic, 2021 - Elsevier
… the Tukey order on certain ideals arising in measure theory [8]. Many of his ideals are …
We showed, among other things, that there is a 2 c -sized antichain in K ( M ) , and [ 0 , 1 ] ω …

Tukey order, calibres and the rationals

P Gartside, A Mamatelashvili - arXiv preprint arXiv:1606.06493, 2016 - arxiv.org
… the Tukey order on certain ideals arising in measure theory [8]. Many of his ideals are …
We showed, among other things, that there is a 2c-sized antichain in K(M), and [0, 1]ω, with …

Avoiding families and Tukey functions on the nowhere-dense ideal

S Solecki, S Todorcevic - Journal of the Institute of Mathematics of …, 2011 - cambridge.org
… We investigate Tukey functions from the ideal of all closed … that this ideal is not Tukey
reducible to the ideal of density zero … reductions among the five orders involved in it. A moment’s …

Maximal Tukey types, P-ideals and the weak Rudin–Keisler order

KA Beros, PB Larson - Archive for Mathematical Logic, 2024 - Springer
… type (that is, maximal among partial orders of size continuum… Tukey order, we also show
that there is an analytic P-ideal above all other analytic P-ideals in the weak Rudin–Keisler order

Tukey classes of ultrafilters on omega

D Milovich - arXiv preprint arXiv:0807.3978, 2008 - arxiv.org
… Moreover, if P ∩ Q = ∅, then we may assume the order … Moreover, since 〈[c]<ω, ⊆〉 is
Tukey-maximal among the … Let J be the ideal generated by the set of pseudointersections of …

[HTML][HTML] Tukey classification of some ideals on ω and the lattices of weakly compact sets in Banach spaces

A Avilés, G Plebanek, J Rodríguez - Advances in Mathematics, 2017 - Elsevier
… partially ordered sets are Tukey equivalent if and only if they are order isomorphic to cofinal
… a suitable notion of Tukey reduction that allows to compare such structures among them, and …

[PDF][PDF] Efficient conversion of nonmetric information into metric information

RP Abelson, JW Tukey - Proc. Amer. statist. Ass. Meetings, Social …, 1959 - asasrms.org
… a single degree of freedom contrast among the levels of the inde… Xn] and the ideal sequence
by [Y1, Y2 A convenient and … Results for the rank order case First we present in some …

John W. Tukey's contributions to multiple comparisons

Y Benjamini, H Braun - Annals of Statistics, 2002 - JSTOR
… of serendipity, Tukey sought to discipline it in order to make it … of confidence and significance,
Tukey expresses a clear … Despite the fact that a good deal of Tukey's reputation among

PCF theory and the Tukey spectrum

T Gilton - arXiv preprint arXiv:2211.13361, 2022 - arxiv.org
… In this paper, we investigate the relationship between the Tukey order and PCF theory, as
… We next define certain ideals which are naturally associated to the cardinals in pcf(A). A …