{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,27]],"date-time":"2025-10-27T20:30:45Z","timestamp":1761597045392},"reference-count":23,"publisher":"EDP Sciences","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["RAIRO-Theor. Inf. Appl."],"published-print":{"date-parts":[[2008,4]]},"DOI":"10.1051\/ita:2007031","type":"journal-article","created":{"date-parts":[[2007,9,24]],"date-time":"2007-09-24T05:51:17Z","timestamp":1190613077000},"page":"253-270","source":"Crossref","is-referenced-by-count":5,"title":["Hierarchies of function classes defined by the first-value operator"],"prefix":"10.1051","volume":"42","author":[{"given":"Armin","family":"Hemmerling","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"250","published-online":{"date-parts":[[2007,12,25]]},"reference":[{"key":"R1","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1002\/malq.200310125","volume":"51","author":"Brattka","year":"2005","journal-title":"Math. Logic Quart."},{"key":"R2","unstructured":"R. Engelking,General topology.Heldermann Verlag, Berlin (1989)."},{"key":"R3","unstructured":"R.L. Epstein, R. Haas and R.L. Kramer, Hierarchies of sets and degrees below 0', in Logic Year 1979\/80, Univ. of Connecticut, edited by M. Lerman, J.H. Schmerl and R.I. Soare.Lect. Notes Math.85932\u201348."},{"key":"R4","unstructured":"Yu. L. Ershov, A hierarchy of sets. I; II; III. Algebra Logica7(1968) 15\u201347. Algebra Logica7(1968) 47\u201374. Algebra Logica9(1970) 34\u201351 (English translation by Plenum P.C.)."},{"key":"#cr-split#-R5.1","unstructured":"F. Hausdorff, W. de Gruyter & Co., Berlin and Leipzig (1914);"},{"key":"#cr-split#-R5.2","unstructured":"Reprint: Chelsea P.C., New York (1949)."},{"key":"R6","unstructured":"F. Hausdorff,Mengenlehre. W. de Gruyter & Co., Berlin and Leipzig (1927)."},{"key":"R7","doi-asserted-by":"crossref","first-page":"34","DOI":"10.1002\/malq.200310003","volume":"49","author":"Hemmerling","year":"2003","journal-title":"Math. Logic Quart."},{"key":"R8","doi-asserted-by":"crossref","first-page":"507","DOI":"10.1002\/malq.200310108","volume":"50","author":"Hemmerling","year":"2004","journal-title":"Math. Logic Quart."},{"key":"R9","doi-asserted-by":"crossref","first-page":"323","DOI":"10.1007\/s00153-005-0317-8","volume":"45","author":"Hemmerling","year":"2006","journal-title":"Arch. Math. Logic"},{"key":"R10","unstructured":"P. Hertling,Unstetigkeitsgrade von Funktionen in der effektiven Analysis. Dissertation. Informatik Berichte 208-11\/1996, Fern-Uni Hagen (1996)."},{"key":"R11","doi-asserted-by":"crossref","first-page":"315","DOI":"10.1006\/jcom.1996.0021","volume":"12","author":"Hertling","year":"1996","journal-title":"J. Complexity"},{"key":"R12","unstructured":"P. Hertling and K. Weihrauch, Levels of degeneracy and exact lower complexity bounds for geometric algorithms, inProc. of the 6th Canadian Conf. on Computational Geometry, Saskatoon (1994) 237\u2013242."},{"key":"R13","doi-asserted-by":"crossref","unstructured":"A.S. Kechris,Classical descriptive set theory. Springer Verlag, New York (1995).","DOI":"10.1007\/978-1-4612-4190-4"},{"key":"R14","unstructured":"K.-I. Ko,Complexity theory of real functions. Birkh\u00e4user, Boston (1991)."},{"key":"R15","doi-asserted-by":"crossref","first-page":"323","DOI":"10.1016\/S0304-3975(82)80003-0","volume":"20","author":"Ko","year":"1982","journal-title":"Theoret. Comput. Sci."},{"key":"R16","doi-asserted-by":"crossref","first-page":"165","DOI":"10.1007\/BFb0009642","volume":"145","author":"Kreitz","year":"1982","journal-title":"Lect. Notes. Comput. Sci."},{"key":"R17","unstructured":"Y.N. Moschovakis,Descriptive set theory. North-Holland, Amsterdam (1980)."},{"key":"R18","unstructured":"P. Odifreddi,Classical recursion theory. North\u2013Holland, Amsterdam (1989)."},{"key":"R19","unstructured":"H. Rogers Jr.,Theory of recursive functions and effective computability. McGraw-Hill, New York (1967)."},{"key":"R20","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1051\/ita:2003008","volume":"37","author":"Selivanov","year":"2003","journal-title":"RAIRO-Theor. Inf. Appl."},{"key":"R21","doi-asserted-by":"crossref","unstructured":"R.I. Soare,Recursively enumerable sets and degrees. Springer-Verlag, Berlin (1987).","DOI":"10.1007\/978-3-662-02460-7"},{"key":"R22","doi-asserted-by":"crossref","unstructured":"K. Weihrauch,Computable analysis. Springer-Verlag, Berlin (2000).","DOI":"10.1007\/978-3-642-56999-9"}],"container-title":["RAIRO - Theoretical Informatics and Applications"],"original-title":[],"link":[{"URL":"http:\/\/www.rairo-ita.org\/10.1051\/ita:2007031\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,3]],"date-time":"2019-05-03T03:35:22Z","timestamp":1556854522000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.rairo-ita.org\/10.1051\/ita:2007031"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,12,25]]},"references-count":23,"journal-issue":{"issue":"2"},"alternative-id":["ita06044"],"URL":"https:\/\/doi.org\/10.1051\/ita:2007031","relation":{},"ISSN":["0988-3754","1290-385X"],"issn-type":[{"value":"0988-3754","type":"print"},{"value":"1290-385X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,12,25]]}}}