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Slawomir Solecki (1999)
Analytic Ideals and Their ApplicationsAnn. Pure Appl. Log., 99
M. Laczkovich, I. Recław (2009)
Ideal limits of sequences of continuous functionsFundamenta Mathematicae, 203
(2010)
Combinatorics of filters and ideals
C. Laflamme (1992)
Zapping small filters, 114
K. Mazur (1991)
$F_σ$-ideals and $ω_1 ω^*_1$-gaps in the Boolean algebras Ρ(ω)/I.Fundamenta Mathematicae, 138
M. Hrusák, J. Zapletal (2004)
Forcing with quotientsArchive for Mathematical Logic, 47
M. Daguenet (1977)
Emploi des filtres sur N dans l'étude descriptive des fonctionsFundamenta Mathematicae, 95
(1995)
Classical Descriptive Set Theory, volume 156 of Graduate Texts in Mathematics
(1996)
Filter games and combinatorial properties of strategies
J. Baumgartner (1995)
Ultrafilters on ωJournal of Symbolic Logic, 60
M. Hrusák, U. Ramos-García (2014)
Malykhin's problemAdvances in Mathematics, 262
I. Farah (2000)
Analytic Quotients: Theory of Liftings for Quotients over Analytic Ideals on the Integers
J. Christensen (1978)
Some results with relation to the control measure problem
M. Arciga-Alejandre, M. Hrusák, C. Martínez-Ranero (2013)
Invariance Properties of Almost Disjoint FamiliesThe Journal of Symbolic Logic, 78
K Mazur (1991)
$${F}_{\sigma }$$ F σ -ideals and $$\omega _{1}\omega _{1}^{*}$$ ω 1 ω 1 ∗ -gaps in the boolean algebras $${\cal{P}}(\omega )/{I}$$ P ( ω ) / IFundam. Math., 138
J. Brendle, Shunsuke Yatabe (2005)
Forcing indestructibility of MAD familiesAnn. Pure Appl. Log., 132
J. Brendle, J. Flašková (2017)
Generic existence of ultrafilters on the natural numbersFundamenta Mathematicae, 236
(2009)
Ideals and Filters on Countable Sets
T. Jech (2017)
Measures on Boolean algebrasarXiv: Logic
S. Solecki (1996)
Analytic IdealsBulletin of Symbolic Logic, 2
M Hrušák, D Meza-Alcántara, H Minami (2010)
Pair-splitting, pair-reaping and cardinal invariants of $${F}_\sigma $$ F σ idealsJ. Symb. Log., 75
J. Brendle, M. Hrusák (2009)
Countable Fréchet Boolean groups: An independence resultThe Journal of Symbolic Logic, 74
M. Hrusák, Hiroaki Minami (2014)
Mathias-Prikry and Laver-Prikry type forcingAnn. Pure Appl. Log., 165
Salvador Ferreira, M. Hrusák (2003)
Ordering MAD families a la KatětovJournal of Symbolic Logic, 68
M. Hrusák, D. Meza-Alcántara (2012)
Katětov order, Fubini property and Hausdorff ultrafilters
J. Flašková (2008)
Description of some ultrafilters via I-ultrafilters
M. Hrusák, D. Meza-Alcántara, Hiroaki Minami (2010)
Pair-splitting, pair-reaping and cardinal invariants of Fσ-idealsThe Journal of Symbolic Logic, 75
V. Kanovei, M. Reeken (2000)
New Radon-Nikodym idealsMathematika, 47
M. Katětov (1968)
Products of filters, 009
Michael Hru (2010)
MAD families and the rationals
Slawomir Solecki (2000)
Filters and sequencesFundamenta Mathematicae, 163
T Bartoszyński, H Judah (1995)
Set Theory. On the Structure of the Real Line
M. Hrusák, D. Meza-Alcántara, E. Thümmel, C. Uzcátegui (2017)
Ramsey type properties of idealsAnn. Pure Appl. Log., 168
We study the Katětov order on Borel ideals. We prove two structural theorems (dichotomies), one for Borel ideals, the other for analytic P-ideals. We isolate nine important Borel ideals and study the Katětov order among them. We also present a list of fundamental open problems concerning the Katětov order on Borel ideals.
Archive for Mathematical Logic – Springer Journals
Published: May 10, 2017
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