{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,10]],"date-time":"2026-01-10T02:47:32Z","timestamp":1768013252571,"version":"3.49.0"},"reference-count":13,"publisher":"Cambridge University Press (CUP)","issue":"1","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"unspecified","delay-in-days":1472,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[2010,3]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We extend the notion of limitwise monotonic functions to include arbitrary computable domains. We then study which sets and degrees are<jats:italic>support increasing (support strictly increasing)<\/jats:italic>limitwise monotonic on various computable domains. As applications, we provide a characterization of the sets<jats:italic>S<\/jats:italic>with computable<jats:italic>increasing \u03b7-representations<\/jats:italic>using support increasing limitwise monotonic sets on \u211a and note relationships between the class of<jats:italic>order-computable<\/jats:italic>sets and the class of support increasing (support strictly increasing) limitwise monotonic sets on certain domains.<\/jats:p>","DOI":"10.2178\/jsl\/1264433912","type":"journal-article","created":{"date-parts":[[2010,1,25]],"date-time":"2010-01-25T15:38:59Z","timestamp":1264433939000},"page":"131-154","source":"Crossref","is-referenced-by-count":11,"title":["Limitwise monotonic functions, sets, and degrees on computable domains"],"prefix":"10.1017","volume":"75","author":[{"given":"Asher M.","family":"Kach","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Daniel","family":"Turetsky","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200002863_ref001","doi-asserted-by":"publisher","DOI":"10.1023\/A:1006031314563"},{"key":"S0022481200002863_ref008","first-page":"51","article-title":"Criterion for constructivizability of a direct sum of cyclic p-groups","volume":"1","author":"Khisamiev","year":"1981","journal-title":"Izvestiya Akademii Nauk Kazakhskoi SSR. 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