{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,25]],"date-time":"2026-03-25T11:46:25Z","timestamp":1774439185670,"version":"3.50.1"},"reference-count":31,"publisher":"Springer Science and Business Media LLC","issue":"7-8","license":[{"start":{"date-parts":[[2017,5,10]],"date-time":"2017-05-10T00:00:00Z","timestamp":1494374400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Arch. Math. Logic"],"published-print":{"date-parts":[[2017,11]]},"DOI":"10.1007\/s00153-017-0543-x","type":"journal-article","created":{"date-parts":[[2017,5,10]],"date-time":"2017-05-10T08:13:59Z","timestamp":1494404039000},"page":"831-847","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":38,"title":["Kat\u011btov order on Borel ideals"],"prefix":"10.1007","volume":"56","author":[{"given":"Michael","family":"Hru\u0161\u00e1k","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2017,5,10]]},"reference":[{"issue":"3","key":"543_CR1","doi-asserted-by":"crossref","first-page":"989","DOI":"10.2178\/jsl.7803160","volume":"78","author":"M Arciga-Alejandre","year":"2013","unstructured":"Arciga-Alejandre, M., Hru\u0161\u00e1k, M., Martinez-Ranero, C.: Invariance properties of almost disjoint families. J. Symb. Log. 78(3), 989\u2013999 (2013)","journal-title":"J. Symb. Log."},{"key":"543_CR2","doi-asserted-by":"crossref","DOI":"10.1201\/9781439863466","volume-title":"Set Theory. On the Structure of the Real Line","author":"T Bartoszy\u0144ski","year":"1995","unstructured":"Bartoszy\u0144ski, T., Judah, H.: Set Theory. On the Structure of the Real Line. A K Peters, Wellesley, MA (1995)"},{"issue":"2","key":"543_CR3","doi-asserted-by":"crossref","first-page":"624","DOI":"10.2307\/2275854","volume":"60","author":"JE Baumgartner","year":"1995","unstructured":"Baumgartner, J.E.: Ultrafilters on $$\\omega $$ \u03c9 . J. Symb. Log. 60(2), 624\u2013639 (1995)","journal-title":"J. Symb. Log."},{"issue":"3","key":"543_CR4","doi-asserted-by":"crossref","first-page":"201","DOI":"10.4064\/fm730-5-2016","volume":"236","author":"J Brendle","year":"2017","unstructured":"Brendle, J., Fla\u0161kov\u00e1, J.: Generic existence of ultrafilters on the natural numbers. Fund. Math. 236(3), 201\u2013245 (2017)","journal-title":"Fund. Math."},{"issue":"3","key":"543_CR5","doi-asserted-by":"crossref","first-page":"1061","DOI":"10.2178\/jsl\/1245158099","volume":"74","author":"J Brendle","year":"2009","unstructured":"Brendle, J., Hru\u0161\u00e1k, M.: Countable Fr\u00e9chet Boolean groups: an independence result. J. Symb. Log. 74(3), 1061\u20131068 (2009)","journal-title":"J. Symb. Log."},{"issue":"2\u20133","key":"543_CR6","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1016\/j.apal.2004.09.002","volume":"132","author":"J Brendle","year":"2005","unstructured":"Brendle, J., Yatabe, S.: Forcing indestructibility of MAD families. Ann. Pure Appl. Logic 132(2\u20133), 271\u2013312 (2005)","journal-title":"Ann. Pure Appl. Logic"},{"key":"543_CR7","doi-asserted-by":"crossref","unstructured":"Christensen, J.P.R.: Some results with relation to the control measure problem. In: Vector Space Measures and Applications (Proceedings Conference, University of Dublin, Dublin, 1977), II, volume\u00a077 of Lecture Notes in Physics, pp. 27\u201334. Springer, Berlin (1978)","DOI":"10.1007\/BFb0069660"},{"key":"543_CR8","doi-asserted-by":"crossref","first-page":"11","DOI":"10.4064\/fm-95-1-11-33","volume":"95","author":"M Daguenet","year":"1977","unstructured":"Daguenet, M.: Emploi des filtres sur n dans l\u2019\u00e9tude descriptive des fonctions. Fundam. Math. 95, 11\u201333 (1977)","journal-title":"Fundam. Math."},{"issue":"702","key":"543_CR9","first-page":"xvi+177","volume":"148","author":"F Ilijas","year":"2000","unstructured":"Ilijas, F.: Analytic quotients: theory of liftings for quotients over analytic ideals on the integers. Mem. Am. Math. Soc. 148(702), xvi+177 (2000)","journal-title":"Mem. Am. Math. Soc."},{"key":"543_CR10","unstructured":"Fla\u0161kov\u00e1, J.: Description of some ultrafilters via I-ultrafilters. In: Proceedings of RIMS, vol. 1619 (2008)"},{"issue":"2","key":"543_CR11","first-page":"345","volume":"42","author":"M Hru\u0161\u00e1k","year":"2001","unstructured":"Hru\u0161\u00e1k, M.: MAD families and the rationals. Comment. Math. Univ. Carol. 42(2), 345\u2013352 (2001)","journal-title":"Comment. Math. Univ. Carol."},{"key":"543_CR12","doi-asserted-by":"crossref","unstructured":"Hru\u0161\u00e1k, M.: Combinatorics of filters and ideals. In: Set Theory and Its Applications, volume 533 of Contemporary Mathematics, pp. 29\u201369. American Mathematical Society, Providence, RI (2011)","DOI":"10.1090\/conm\/533\/10503"},{"issue":"4","key":"543_CR13","doi-asserted-by":"crossref","first-page":"1337","DOI":"10.2178\/jsl\/1067620190","volume":"68","author":"M Hru\u0161\u00e1k","year":"2003","unstructured":"Hru\u0161\u00e1k, M., Ferreira, S.G.: Ordering MAD families a la Kat\u011btov. J. Symb. Log. 68(4), 1337\u20131353 (2003)","journal-title":"J. Symb. Log."},{"key":"543_CR14","first-page":"503","volume":"44","author":"M Hru\u0161\u00e1k","year":"2012","unstructured":"Hru\u0161\u00e1k, M., Meza-Alc\u00e1ntara, D.: Kat\u011btov order, Fubini property and Hausdorff ultrafilters. Rend. Istit. Mat. Univ. Trieste 44, 503\u2013511 (2012)","journal-title":"Rend. Istit. Mat. Univ. Trieste"},{"issue":"3","key":"543_CR15","doi-asserted-by":"crossref","first-page":"880","DOI":"10.1016\/j.apal.2013.11.003","volume":"165","author":"M Hru\u0161\u00e1k","year":"2014","unstructured":"Hru\u0161\u00e1k, M., Minami, H.: Mathias\u2013Prikry and Laver\u2013Prikry type forcing. Ann. Pure Appl. Logic 165(3), 880\u2013894 (2014)","journal-title":"Ann. Pure Appl. Logic"},{"issue":"7\u20138","key":"543_CR16","doi-asserted-by":"crossref","first-page":"719","DOI":"10.1007\/s00153-008-0104-4","volume":"47","author":"M Hru\u0161\u00e1k","year":"2008","unstructured":"Hru\u0161\u00e1k, M., Zapletal, J.: Forcing with quotients. Arch. Math. Log. 47(7\u20138), 719\u2013739 (2008)","journal-title":"Arch. Math. Log."},{"key":"543_CR17","doi-asserted-by":"crossref","unstructured":"Hru\u0161\u00e1k, M., Ramos\u00a0Garc\u00eda, U.A.: Malykhin\u2019s problem. Adv. Math. (2014)","DOI":"10.1016\/j.aim.2014.05.009"},{"issue":"2","key":"543_CR18","doi-asserted-by":"crossref","first-page":"661","DOI":"10.2178\/jsl\/1268917498","volume":"75","author":"M Hru\u0161\u00e1k","year":"2010","unstructured":"Hru\u0161\u00e1k, M., Meza-Alc\u00e1ntara, D., Minami, H.: Pair-splitting, pair-reaping and cardinal invariants of $${F}_\\sigma $$ F \u03c3 ideals. J. Symb. Log. 75(2), 661\u2013677 (2010)","journal-title":"J. Symb. Log."},{"key":"543_CR19","doi-asserted-by":"crossref","unstructured":"Hru\u0161\u00e1k, M., Meza-Alc\u00e1ntara, D., Th\u00fcmmel, E., Uzcategui, C.: Ramsey type properties of ideals. Accepted to Annals of Pure and Applied Logic (2017)","DOI":"10.1016\/j.apal.2017.06.001"},{"issue":"1\u20132","key":"543_CR20","first-page":"219","volume":"47","author":"V Kanovei","year":"2002","unstructured":"Kanovei, V., Reeken, M.: New Radon\u2013Nikodym ideals. Mathematika 47(1\u20132), 219\u2013227 (2002)","journal-title":"Mathematika"},{"key":"543_CR21","first-page":"173","volume":"9","author":"M Kat\u011btov","year":"1968","unstructured":"Kat\u011btov, M.: Products of filters. Comment. Math. Univ. Carol. 9, 173\u2013189 (1968)","journal-title":"Comment. Math. Univ. Carol."},{"key":"543_CR22","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-4190-4","volume-title":"Classical Descriptive Set Theory, volume 156 of Graduate Texts in Mathematics","author":"AS Kechris","year":"1995","unstructured":"Kechris, A.S.: Classical Descriptive Set Theory, volume 156 of Graduate Texts in Mathematics. Springer, New York (1995)"},{"key":"543_CR23","doi-asserted-by":"crossref","first-page":"1165","DOI":"10.2140\/pjm.1959.9.1165","volume":"9","author":"JL Kelley","year":"1959","unstructured":"Kelley, J.L.: Measures on Boolean algebras. Pac. J. Math. 9, 1165\u20131177 (1959)","journal-title":"Pac. J. Math."},{"issue":"1","key":"543_CR24","doi-asserted-by":"crossref","first-page":"39","DOI":"10.4064\/fm203-1-3","volume":"203","author":"M Laczkovich","year":"2009","unstructured":"Laczkovich, M., Rec\u0142aw, I.: Ideal limits of sequences of continuous functions. Fundam. Math. 203(1), 39\u201346 (2009)","journal-title":"Fundam. Math."},{"issue":"2","key":"543_CR25","doi-asserted-by":"crossref","first-page":"535","DOI":"10.1090\/S0002-9939-1992-1068126-5","volume":"114","author":"C Laflamme","year":"1992","unstructured":"Laflamme, C.: Zapping small filters. Proc. Am. Math. Soc. 114(2), 535\u2013544 (1992)","journal-title":"Proc. Am. Math. Soc."},{"key":"543_CR26","doi-asserted-by":"crossref","unstructured":"Laflamme, C.: Filter games and combinatorial properties of strategies. In: Set Theory (Boise, ID, 1992\u20131994), volume 192 of Contemporary Mathematics, pp. 51\u201367. American Mathematical Society, Providence, RI (1996)","DOI":"10.1090\/conm\/192\/02348"},{"issue":"2","key":"543_CR27","doi-asserted-by":"crossref","first-page":"103","DOI":"10.4064\/fm-138-2-103-111","volume":"138","author":"K Mazur","year":"1991","unstructured":"Mazur, K.: $${F}_{\\sigma }$$ F \u03c3 -ideals and $$\\omega _{1}\\omega _{1}^{*}$$ \u03c9 1 \u03c9 1 \u2217 -gaps in the boolean algebras $${\\cal{P}}(\\omega )\/{I}$$ P ( \u03c9 ) \/ I . Fundam. Math. 138(2), 103\u2013111 (1991)","journal-title":"Fundam. Math."},{"key":"543_CR28","unstructured":"Meza\u00a0Alc\u00e1ntara, D: Ideals and Filters on Countable Sets. PhD thesis, UNAM M\u00e9xico, (2009)"},{"issue":"3","key":"543_CR29","doi-asserted-by":"crossref","first-page":"339","DOI":"10.2307\/420994","volume":"2","author":"S Solecki","year":"1996","unstructured":"Solecki, S.: Analytic ideals. Bull. Symb. Log. 2(3), 339\u2013348 (1996)","journal-title":"Bull. Symb. Log."},{"issue":"1\u20133","key":"543_CR30","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1016\/S0168-0072(98)00051-7","volume":"99","author":"S Solecki","year":"1999","unstructured":"Solecki, S.: Analytic ideals and their applications. Ann. Pure Appl. Log. 99(1\u20133), 51\u201372 (1999)","journal-title":"Ann. Pure Appl. Log."},{"issue":"3","key":"543_CR31","doi-asserted-by":"crossref","first-page":"215","DOI":"10.4064\/fm-163-3-215-228","volume":"163","author":"S Solecki","year":"2000","unstructured":"Solecki, S.: Filters and sequences. Fundam. Math. 163(3), 215\u2013228 (2000)","journal-title":"Fundam. Math."}],"container-title":["Archive for Mathematical Logic"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00153-017-0543-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00153-017-0543-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00153-017-0543-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,10,7]],"date-time":"2020-10-07T06:19:44Z","timestamp":1602051584000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00153-017-0543-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,5,10]]},"references-count":31,"journal-issue":{"issue":"7-8","published-print":{"date-parts":[[2017,11]]}},"alternative-id":["543"],"URL":"https:\/\/doi.org\/10.1007\/s00153-017-0543-x","relation":{},"ISSN":["0933-5846","1432-0665"],"issn-type":[{"value":"0933-5846","type":"print"},{"value":"1432-0665","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,5,10]]}}}