{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T02:46:47Z","timestamp":1777430807321,"version":"3.51.4"},"reference-count":17,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[1991,1,1]],"date-time":"1991-01-01T00:00:00Z","timestamp":662688000000},"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":[[1991,1]]},"DOI":"10.1007\/bf01370693","type":"journal-article","created":{"date-parts":[[2005,4,1]],"date-time":"2005-04-01T16:36:01Z","timestamp":1112373361000},"page":"25-53","source":"Crossref","is-referenced-by-count":76,"title":["Reflecting stationary sets and successors of singular cardinals"],"prefix":"10.1007","volume":"31","author":[{"given":"Saharon","family":"Shelah","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"CR1","doi-asserted-by":"crossref","unstructured":"[BSh360] Baldwin, J.T., Shelah, S.: Smoothness in the primal framework. Ann. Pure Appl. Logic (to appear)","DOI":"10.1016\/0168-0072(91)90095-4"},{"key":"CR2","doi-asserted-by":"crossref","unstructured":"[BD] Ben David, S.: A Laver-type indestructability for accessible cardinals. In: Drake, F.R., Truss, J.K. (eds.). Logic Colloquium 86, pp. 9?19. North-Holland, 1988","DOI":"10.1016\/S0049-237X(09)70650-0"},{"key":"CR3","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1007\/BF01624081","volume":"28","author":"M. Gitik","year":"1989","unstructured":"[GS] Gitik, M., Shelah, S.: On a certain indestructibility of strong cardinals and a question of Hajnal. Arch. Math. Logic28, 35?42 (1989)","journal-title":"Arch. Math. Logic"},{"key":"CR4","doi-asserted-by":"crossref","first-page":"822","DOI":"10.2307\/2274667","volume":"55","author":"T. Jech","year":"1990","unstructured":"[JSh387] Jech, T., Shelah, S.: Full reflection for the ? n 's. J. Symb. Logic55, 822?830 (1990)","journal-title":"J. Symb. Logic"},{"key":"CR5","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1007\/BF02761175","volume":"29","author":"R. Laver","year":"1978","unstructured":"[L] Laver, R.: Making the supercompactness of ? indestructible under ?-directed closed forcing. Isr. J. Math.29, 385?388 (1978)","journal-title":"Isr. J. Math."},{"key":"CR6","unstructured":"[MgSh204] Magidor, M., Shelah, S.: When does almost free imply free? J. A.M.S. (accepted)"},{"key":"CR7","doi-asserted-by":"crossref","first-page":"353","DOI":"10.1007\/BF02764953","volume":"67","author":"A.H. Mekler","year":"1989","unstructured":"[MkSh367] Mekler, A.H., Shelah, S.: The consistency strength of ?Every stationary set reflects?. Isr. J. Math.67, 353?366 (1989)","journal-title":"Isr. J. Math."},{"key":"CR8","series-title":"Lect. Notes Math.","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-21543-2","volume-title":"Proper Forcing","author":"S. Shelah","year":"1982","unstructured":"[Sh-b] Shelah, S.: Proper Forcing. (Lect. Notes Math. vol. 940, 496 + xxix pp. Berlin Heidelberg New York: Springer 1982"},{"key":"CR9","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1007\/BF02760829","volume":"30","author":"S. Shelah","year":"1978","unstructured":"[Sh68] Shelah, S.: Jonsson algebras in successor cardinals. Isr. J. Math.30, 57?64 (1978)","journal-title":"Isr. J. Math."},{"key":"CR10","series-title":"Lect. Notes Math.","first-page":"483","volume-title":"Classification theory. Proceedings, Chicago 1985","author":"S. Shelah","year":"1987","unstructured":"[Sh88a] Shelah, S.: Classification theory for non-elementary classes. II. Abstract elementary classes. Appendix: On stationary sets. In: Baldwin, J.T. (ed.). Classification theory. Proceedings, Chicago 1985. (Lect. Notes Math., vol. 1292, pp. 483?497) Berlin Heidelberg New York: Springer 1987"},{"key":"CR11","doi-asserted-by":"crossref","first-page":"563","DOI":"10.2307\/2273423","volume":"45","author":"S. Shelah","year":"1980","unstructured":"[Sh100] Shelah, S.: Independence results. J. Symb. Logic45, 563?573 (1980)","journal-title":"J. Symb. Logic"},{"key":"CR12","doi-asserted-by":"crossref","unstructured":"[Sh108] Shelah, S.: On successors of singular cardinals. In: Boffa, M., van Dalen, D., McAloon, K. (eds.). Logic Colloquium 78. Amsterdam 1979, pp. 357?380","DOI":"10.1016\/S0049-237X(08)71635-5"},{"key":"CR13","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1305\/ndjfl\/1093636617","volume":"27","author":"S. Shelah","year":"1986","unstructured":"[Sh111] Shelah, S.: On power of singular cardinals. Notre Dame J. Formal Logic27, 263?299 (1986)","journal-title":"Notre Dame J. Formal Logic"},{"key":"CR14","series-title":"Lect. Notes. Math.","doi-asserted-by":"crossref","first-page":"276","DOI":"10.1007\/BFb0098517","volume-title":"Around classification theory of models","author":"S. Shelah","year":"1986","unstructured":"[Sh237e] Shelah, S.: Remarks on squares. In: Around classification theory of models. (Lect. Notes. Math., vol. 1182, pp. 276?279) Berlin Heidelberg New York: Springer 1986"},{"key":"CR15","doi-asserted-by":"crossref","first-page":"213","DOI":"10.1007\/BF02787123","volume":"62","author":"S. Shelah","year":"1988","unstructured":"[Sh282] Shelah, S.: Successors of singulars, cofinalities of reduced products of cardinals and productivity of chain conditions. Isr. J. Math.62, 213?256 (1988)","journal-title":"Isr. J. Math."},{"key":"CR16","series-title":"Lect. Notes Math.","doi-asserted-by":"crossref","first-page":"264","DOI":"10.1007\/BFb0082242","volume-title":"Classification theory. Proceedings, Chicago 1985","author":"S. Shelah","year":"1987","unstructured":"[Sh300] Shelah, S.: Universal classes, Chaps. I?IV. In: Baldwin, J.T. (ed.). Classification theory. Proceedings, Chicago 1985. (Lect. Notes Math., vol. 1292, pp. 264?418) Berlin Heidelberg New York: Springer 1987"},{"key":"CR17","unstructured":"[Sh355] Shelah, S.: ? ?+1's has a Jonsson algebra. (Preprint) to appear in: Cardinal Arithmetic. Oxford University Press"}],"container-title":["Archive for Mathematical Logic"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01370693.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF01370693\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01370693","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,6]],"date-time":"2020-04-06T16:01:42Z","timestamp":1586188902000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF01370693"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1991,1]]},"references-count":17,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1991,1]]}},"alternative-id":["BF01370693"],"URL":"https:\/\/doi.org\/10.1007\/bf01370693","relation":{},"ISSN":["0933-5846","1432-0665"],"issn-type":[{"value":"0933-5846","type":"print"},{"value":"1432-0665","type":"electronic"}],"subject":[],"published":{"date-parts":[[1991,1]]}}}