{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,1,30]],"date-time":"2024-01-30T21:10:34Z","timestamp":1706649034972},"reference-count":16,"publisher":"Duke University Press","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Notre Dame J. Formal Logic"],"published-print":{"date-parts":[[2012,1,1]]},"DOI":"10.1215\/00294527-1626536","type":"journal-article","created":{"date-parts":[[2012,5,9]],"date-time":"2012-05-09T17:57:44Z","timestamp":1336586264000},"source":"Crossref","is-referenced-by-count":5,"title":["Thin Ultrafilters"],"prefix":"10.1215","volume":"53","author":[{"given":"O.","family":"Petrenko","sequence":"first","affiliation":[]},{"given":"I. V.","family":"Protasov","sequence":"additional","affiliation":[]}],"member":"73","reference":[{"key":"3","doi-asserted-by":"crossref","unstructured":"Hindman, N., and D. Strauss, <i>Algebra in the Stone-\u010cech Compactification. Theory and Applications<\/i>, vol. 27 of <i>de Gruyter Expositions in Mathematics<\/i>, Walter de Gruyter &amp; Co., Berlin, 1998.","DOI":"10.1515\/9783110809220"},{"key":"1","doi-asserted-by":"crossref","unstructured":"Chou, C., \"On the size of the set of left invariant means on a semi-group\", <i>Proceedings of the American Mathematical Society<\/i>, vol. 23 (1969), pp. 199\u2013205.","DOI":"10.2307\/2037517"},{"key":"2","unstructured":"Hart, K. P., and J. van Mill, \"Open problems on $\\beta\\omega$\", pp. 97\u2013125 in <i>Open Problems in Topology<\/i>, North-Holland, Amsterdam, 1990."},{"key":"4","doi-asserted-by":"crossref","unstructured":"Ketonen, J., \"On the existence of $P$\"-points in the Stone-\u010cech compactification of integers, <i>Fundamenta Mathematicae<\/i>, vol. 92 (1976), pp. 91\u201394.","DOI":"10.4064\/fm-92-2-91-94"},{"key":"5","unstructured":"Kunen, K., \"Weak $P$\"-points in ${\\bf N}^{\\ast} $, pp. 741\u201349 in <i>Topology, Vol. II<\/i> (Proceedings of the Fourth Colloquium, Budapest, 1978, edited by \u00c1. Csa\\' sz\u00e1r, vol. 23 of <i>Colloquia Mathematica Societatis J\u00e1nos Bolyai<\/i>, North-Holland, Amsterdam, 1980."},{"key":"6","doi-asserted-by":"publisher","unstructured":"Lutsenko, I., and I. V. Protasov, \"Sparse, thin and other subsets of groups\", <i>International Journal of Algebra and Computation<\/i>, vol. 19 (2009), pp. 491\u2013510.","DOI":"10.1142\/S0218196709005135"},{"key":"7","unstructured":"Lutsenko, I., \"Thin systems of generators of groups\", <i>Algebra and Discrete Mathematics<\/i>, vol. 9 (2010), pp. 108\u201314."},{"key":"8","unstructured":"Mathias, A. R. D., \"$0^{\\#}$\" and the $p$\"-point problem, pp. 375\u201384 in <i>Higher Set Theory (Proceedings of the Conference at Mathematisches Forschungsinstitut, Oberwolfach, 1977)<\/i>, edited by G. H. M\u00fcller and D. S. Scott, vol. 669 of <i>Lecture Notes in Mathematics<\/i>, Springer, Berlin, 1978."},{"key":"9","doi-asserted-by":"crossref","unstructured":"van Mill, J., \"An introduction to $\\beta\\omega$\", pp. 503\u201367 in <i>Handbook of Set-Theoretic Topology<\/i>, North-Holland, Amsterdam, 1984.","DOI":"10.1016\/B978-0-444-86580-9.50014-8"},{"key":"10","doi-asserted-by":"crossref","unstructured":"Miller, A. W., \"There are no $Q$\"-points in Laver's model for the Borel conjecture, <i>Proceedings of the American Mathematical Society<\/i>, vol. 78 (1980), pp. 103\u2013106.","DOI":"10.2307\/2043048"},{"key":"11","unstructured":"Protasov, I. V., \"Normal ball structures\", <i>Matematichn\\=\\i Stud\\=\\i \u00ef. Prats\\=\\i Lriptsize $'$<\/i>v\\=\\i vsriptsize $'$kogo Matematichnogo Tovaristva, vol. 20 (2003), pp. 3\u201316."},{"key":"12","doi-asserted-by":"publisher","unstructured":"Protasov, I. V., \"Coronas of balleans\", <i>Topology and its Applications<\/i>, vol. 149 (2005), pp. 149\u201360.","DOI":"10.1016\/j.topol.2004.09.005"},{"key":"13","doi-asserted-by":"publisher","unstructured":"Protasov, I. V., \"Dynamical equivalences on $G^\\ast$\", <i>Topology and its Applications<\/i>, vol. 155 (2008), pp. 1394\u20131402.","DOI":"10.1016\/j.topol.2008.03.024"},{"key":"14","unstructured":"Protasov, I. V., \"Selective survey on subset combinatorics of groups\", <i>Ukra\u00ef nsriptsize $'$<\/i>ki\u012d Matematichni\u012d V\\=\\i snik, vol. 7 (2010), pp. 220\u201357."},{"key":"15","unstructured":"Protasov, I., and M. Zarichnyi, <i>General Asymptology<\/i>, vol. 12 of <i>Mathematical Studies Monograph Series<\/i>, VNTL Publishers, Lriptsize $'$viv, 2007."},{"key":"16","doi-asserted-by":"crossref","unstructured":"Shelah, S., <i>Proper Forcing<\/i>, vol. 940 of <i>Lecture Notes in Mathematics<\/i>, Springer-Verlag, Berlin, 1982.","DOI":"10.1007\/978-3-662-21543-2"}],"container-title":["Notre Dame Journal of Formal Logic"],"original-title":[],"link":[{"URL":"https:\/\/projecteuclid.org\/journalArticle\/Download?urlid=10.1215\/00294527-1626536","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,1,30]],"date-time":"2024-01-30T20:57:48Z","timestamp":1706648268000},"score":1,"resource":{"primary":{"URL":"https:\/\/projecteuclid.org\/journals\/notre-dame-journal-of-formal-logic\/volume-53\/issue-1\/Thin-Ultrafilters\/10.1215\/00294527-1626536.full"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,1,1]]},"references-count":16,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2012,1,1]]}},"URL":"https:\/\/doi.org\/10.1215\/00294527-1626536","relation":{},"ISSN":["0029-4527"],"issn-type":[{"value":"0029-4527","type":"print"}],"subject":[],"published":{"date-parts":[[2012,1,1]]}}}