{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,5]],"date-time":"2022-04-05T22:17:08Z","timestamp":1649197028304},"reference-count":22,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2010,6,20]],"date-time":"2010-06-20T00:00:00Z","timestamp":1276992000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Arch. Math. Logic"],"published-print":{"date-parts":[[2010,8]]},"DOI":"10.1007\/s00153-010-0190-y","type":"journal-article","created":{"date-parts":[[2010,6,20]],"date-time":"2010-06-20T20:12:16Z","timestamp":1277064736000},"page":"617-658","source":"Crossref","is-referenced-by-count":0,"title":["Additivity of the two-dimensional Miller ideal"],"prefix":"10.1007","volume":"49","author":[{"given":"Otmar","family":"Spinas","sequence":"first","affiliation":[]},{"given":"Sonja","family":"Thiele","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2010,6,20]]},"reference":[{"key":"190_CR1","unstructured":"Brendle, J.: Combinatorial Aspects of the Meager and Null Ideals and of other Ideals on the Reals; Thesis for Habilitation, Eberhard-Karls-Universit\u00e4t T\u00fcbingen (1994\/95)"},{"key":"190_CR2","unstructured":"Goldstern, M.: Tools for your forcing construction; Set theory of the reals (Ramat Gan, 1991). In: Israel Mathematical Conference Prooceedings, vol. 6, pp. 307\u2013362. Bar Ilan University, Ramat Gan (1992)"},{"issue":"2","key":"190_CR3","doi-asserted-by":"crossref","first-page":"557","DOI":"10.1090\/S0002-9939-1994-1284459-3","volume":"122","author":"M. Goldstern","year":"1994","unstructured":"Goldstern M., Johnson M.J., Spinas O.: Towers on trees. Proc. Am. Math. Soc. 122(2), 557\u2013564 (1994)","journal-title":"Proc. Am. Math. Soc."},{"issue":"5","key":"190_CR4","doi-asserted-by":"crossref","first-page":"1573","DOI":"10.1090\/S0002-9939-1995-1233972-4","volume":"123","author":"M. Goldstern","year":"1995","unstructured":"Goldstern M., Repicky M., Shelah S., Spinas O.: On tree ideals. Proc. Am. Math. Soc. 123(5), 1573\u20131581 (1995)","journal-title":"Proc. Am. Math. Soc."},{"key":"190_CR5","volume-title":"Set Theory","author":"T. Jech","year":"1978","unstructured":"Jech T.: Set Theory. Academic Press, New York (1978)"},{"key":"190_CR6","unstructured":"Jossen, S., Spinas, O.: A two-dimensional tree ideal. Berichtsreihe des Mathematischen Seminars Kiel, Vol. 00\u201332 (2000)"},{"issue":"3","key":"190_CR7","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1007\/BF01269943","volume":"31","author":"H. Judah","year":"1992","unstructured":"Judah H., Miller A., Shelah S.: Sacks forcing, Laver forcing, and Martin\u2019s Axiom. Arch. Math. Log. 31(3), 145\u2013161 (1992)","journal-title":"Arch. Math. Log."},{"key":"190_CR8","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1090\/S0002-9947-1977-0450070-1","volume":"229","author":"A. Kechris","year":"1977","unstructured":"Kechris A.: On a notion of smallness for subsets of the Baire space. Trans. Am. Math. Soc. 229, 191\u2013207 (1977)","journal-title":"Trans. Am. Math. Soc."},{"key":"190_CR9","unstructured":"Koppelberg, S.: Handbook of Boolean Algebras. In: Monk, J.D. (Eds.) Vol. 1. North Holland, Amsterdam, New York, Oxford (1989)"},{"key":"190_CR10","volume-title":"Set Theory. An Introduction to Independence Proofs","author":"K. Kunen","year":"1990","unstructured":"Kunen K.: Set Theory. An Introduction to Independence Proofs. North Holland, Amsterdam, New York, Oxford (1990)"},{"issue":"3","key":"190_CR11","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1016\/0168-0072(93)90151-3","volume":"63","author":"A. Louveau","year":"1993","unstructured":"Louveau A., Shelah S., Velickovic B.: Borel partitions of infinite subtrees of a perfect tree. Ann. Pure Appl. Log. 63(3), 271\u2013281 (1993)","journal-title":"Ann. Pure Appl. Log."},{"key":"190_CR12","doi-asserted-by":"crossref","first-page":"17","DOI":"10.4064\/fm-24-1-17-34","volume":"24","author":"E. Marczewski","year":"1935","unstructured":"Marczewski E.: Sur une classe de fonctions de W. Sierpi\u0144ski et la classe correspondante d\u2019ensembles. Fundam. Math. 24, 17\u201337 (1935)","journal-title":"Fundam. Math."},{"key":"190_CR13","doi-asserted-by":"crossref","first-page":"59","DOI":"10.1016\/0003-4843(77)90006-7","volume":"12","author":"A.R.D. Mathias","year":"1977","unstructured":"Mathias A.R.D.: Happy families. Ann. Math. Log. 12, 59\u2013111 (1977)","journal-title":"Ann. Math. Log."},{"key":"190_CR14","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1090\/conm\/031\/763899","volume":"31","author":"A. Miller","year":"1984","unstructured":"Miller A.: Rational perfect set forcing. Contemp. Math. 31, 143\u2013159 (1984)","journal-title":"Contemp. Math."},{"key":"190_CR15","doi-asserted-by":"crossref","first-page":"111","DOI":"10.4153\/CJM-1952-010-8","volume":"4","author":"F. Rothberger","year":"1952","unstructured":"Rothberger F.: On the property C and a problem of Hausdorff. Can. J. Math. 4, 111\u2013116 (1952)","journal-title":"Can. J. Math."},{"key":"190_CR16","volume-title":"Proper Forcing. Lecture Notes in Mathematics, vol. 940","author":"S. Shelah","year":"1982","unstructured":"Shelah S.: Proper Forcing. Lecture Notes in Mathematics, vol. 940. Springer, Berlin (1982)"},{"key":"190_CR17","first-page":"81","volume":"158","author":"S. Shelah","year":"1998","unstructured":"Shelah S., Spinas O.: The distributivity numbers of finite products of $${\\mathfrak{P}{(\\omega)}\/{\\rm fin}}$$ . Fundam. Math. 158, 81\u201393 (1998)","journal-title":"Fundam. Math."},{"key":"190_CR18","doi-asserted-by":"crossref","first-page":"705","DOI":"10.2307\/2275753","volume":"60","author":"O. Spinas","year":"1995","unstructured":"Spinas O.: Generic trees. J. Symbol. Log. 60, 705\u2013726 (1995)","journal-title":"J. Symbol. Log."},{"key":"190_CR19","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1112\/S0024611500012740","volume":"82","author":"O. Spinas","year":"2001","unstructured":"Spinas O.: Ramsey and freeness properties of Polish planes. Proc. Lond. Math. Soc. 82, 31\u201363 (2001)","journal-title":"Proc. Lond. Math. Soc."},{"issue":"2","key":"190_CR20","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1142\/S0219061301000090","volume":"1","author":"O. Spinas","year":"2001","unstructured":"Spinas O.: Canonical behaviour of Borel functions on superperfect rectangles. J. Math. Log. 1(2), 173\u2013220 (2001)","journal-title":"J. Math. Log."},{"issue":"1","key":"190_CR21","doi-asserted-by":"crossref","first-page":"249","DOI":"10.2140\/pjm.1996.176.249","volume":"176","author":"O. Spinas","year":"1996","unstructured":"Spinas O.: Partitioning products of $${\\mathfrak{P}{(\\omega)}\/{\\rm fin}}$$ . Pac. J. Math. 176(1), 249\u2013262 (1996)","journal-title":"Pac. J. Math."},{"key":"190_CR22","first-page":"279","volume":"79","author":"B. Velickovic","year":"1991","unstructured":"Velickovic B.: ccc posets of perfect trees. Compos. Math. 79, 279\u2013294 (1991)","journal-title":"Compos. Math."}],"container-title":["Archive for Mathematical Logic"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00153-010-0190-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00153-010-0190-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00153-010-0190-y","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,23]],"date-time":"2019-05-23T15:36:43Z","timestamp":1558625803000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00153-010-0190-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,6,20]]},"references-count":22,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2010,8]]}},"alternative-id":["190"],"URL":"https:\/\/doi.org\/10.1007\/s00153-010-0190-y","relation":{},"ISSN":["0933-5846","1432-0665"],"issn-type":[{"value":"0933-5846","type":"print"},{"value":"1432-0665","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,6,20]]}}}