{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,29]],"date-time":"2025-09-29T11:52:48Z","timestamp":1759146768447},"reference-count":13,"publisher":"Duke University Press","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Notre Dame J. Formal Logic"],"published-print":{"date-parts":[[2020,9,1]]},"DOI":"10.1215\/00294527-2020-0012","type":"journal-article","created":{"date-parts":[[2020,9,9]],"date-time":"2020-09-09T08:00:39Z","timestamp":1599638439000},"source":"Crossref","is-referenced-by-count":1,"title":["Ideals and Their Generic Ultrafilters"],"prefix":"10.1215","volume":"61","author":[{"given":"David","family":"Chodounsk\u00fd","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jind\u0159ich","family":"Zapletal","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"73","reference":[{"key":"9","doi-asserted-by":"publisher","unstructured":"[9] Hru\u0161\u00e1k, M., and H. Minami, \u201cMathias-Prikry and Laver-Prikry type forcing,\u201d <i>Annals of Pure and Applied Logic<\/i>, vol. 165 (2014), pp. 880\u201394.","DOI":"10.1016\/j.apal.2013.11.003"},{"key":"1","doi-asserted-by":"crossref","unstructured":"[1] Chodounsk\u00fd, D., O. Guzm\u00e1n Gonz\u00e1lez, and M. Hru\u0161\u00e1k, \u201cMathias-Prikry and Laver type forcing; summable ideals, coideals, and $+$-selective filters,\u201d <i>Archive for Mathematical Logic<\/i>, vol. 55 (2016), pp. 493\u2013504.","DOI":"10.1007\/s00153-016-0476-9"},{"key":"2","doi-asserted-by":"publisher","unstructured":"[2] Di Prisco, C. A, and S. Todorcevic, \u201cPerfect-set properties in $L(\\mathbb{R})[{U}]$,\u201d <i>Advances in Mathematics<\/i>, vol. 139 (1998), pp. 240\u201359.","DOI":"10.1006\/aima.1998.1752"},{"key":"3","doi-asserted-by":"publisher","unstructured":"[3] Dobrinen, N., \u201cInfinite-dimensional Ellentuck spaces and Ramsey-classification theorems,\u201d <i>Journal of Mathematical Logic<\/i>, vol. 16 (2016), no. 1, art. ID 1650003.","DOI":"10.1142\/S0219061316500033"},{"key":"4","doi-asserted-by":"publisher","unstructured":"[4] Dobrinen, N., J. G. Mijares, and T. Trujillo, \u201cTopological Ramsey spaces from Fra\u00efss\u00e9 classes, Ramsey-classification theorems, and initial structures in the Tukey types of $p$-points,\u201d <i>Archive for Mathematical Logic<\/i>, vol. 56 (2017), pp. 733\u201382.","DOI":"10.1007\/s00153-017-0540-0"},{"key":"5","doi-asserted-by":"publisher","unstructured":"[5] Dobrinen, N., and S. Todorcevic, \u201cA new class of Ramsey-classification theorems and their application in the Tukey theory of ultrafilters, I,\u201d <i>Transactions of the American Mathematical Society<\/i>, vol. 366 (2014), pp. 1659\u201384.","DOI":"10.1090\/S0002-9947-2013-05844-8"},{"key":"6","doi-asserted-by":"publisher","unstructured":"[6] Dobrinen, N., and S. Todorcevic, \u201cA new class of Ramsey-classification theorems and their applications in the Tukey theory of ultrafilters, II,\u201d <i>Transactions of the American Mathematical Society<\/i>, vol. 367 (2015), pp. 4627\u201359.","DOI":"10.1090\/S0002-9947-2014-06122-9"},{"key":"7","doi-asserted-by":"publisher","unstructured":"[7] Farah, I., \u201cSemiselective coideals,\u201d <i>Mathematika<\/i>, vol. 45 (1998), pp. 79\u2013103.","DOI":"10.1112\/S0025579300014054"},{"key":"8","doi-asserted-by":"crossref","unstructured":"[8] Feng, Q., M. Magidor, and H. Woodin, \u201cUniversally Baire sets of reals,\u201d pp. 203\u201342 in <i>Set Theory of the Continuum (Berkeley, CA, 1989)<\/i>, edited by H. Judah, W. Just, and H. Woodin, vol. 26 of <i>Mathematical Sciences Research Institute Publications<\/i>, Springer, New York, 1992.","DOI":"10.1007\/978-1-4613-9754-0_15"},{"key":"10","unstructured":"[10] Jech, T., <i>Set Theory<\/i>, 3rd millennium edition, revised and expanded, <i>Springer Monographs in Mathematics<\/i>, Springer, Berlin, 2002."},{"key":"11","doi-asserted-by":"publisher","unstructured":"[11] Laflamme, C., \u201cForcing with filters and complete combinatorics,\u201d <i>Annals of Pure and Applied Logic<\/i>, vol. 42 (1989), pp. 125\u201363.","DOI":"10.1016\/0168-0072(89)90052-3"},{"key":"12","doi-asserted-by":"publisher","unstructured":"[12] Mazur, K., \u201c${F}_{\\sigma }$-ideals and $\\omega _{1}\\omega _{1}*$-gaps in the Boolean algebras $P(\\omega )\/I$,\u201d <i>Fundamenta Mathematicae<\/i>, vol. 138 (1991), pp. 103\u201311.","DOI":"10.4064\/fm-138-2-103-111"},{"key":"13","doi-asserted-by":"publisher","unstructured":"[13] Zapletal, J., \u201cTerminal notions in set theory,\u201d <i>Annals of Pure and Applied Logic<\/i>, vol. 109 (2001), pp. 89\u2013116.","DOI":"10.1016\/S0168-0072(01)00044-6"}],"container-title":["Notre Dame Journal of Formal Logic"],"original-title":[],"link":[{"URL":"https:\/\/projecteuclid.org\/journalArticle\/Download?urlid=10.1215\/00294527-2020-0012","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,1,30]],"date-time":"2024-01-30T21:00:16Z","timestamp":1706648416000},"score":1,"resource":{"primary":{"URL":"https:\/\/projecteuclid.org\/journals\/notre-dame-journal-of-formal-logic\/volume-61\/issue-3\/Ideals-and-Their-Generic-Ultrafilters\/10.1215\/00294527-2020-0012.full"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,9,1]]},"references-count":13,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2020,9,1]]}},"URL":"https:\/\/doi.org\/10.1215\/00294527-2020-0012","relation":{},"ISSN":["0029-4527"],"issn-type":[{"value":"0029-4527","type":"print"}],"subject":[],"published":{"date-parts":[[2020,9,1]]}}}