{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,3]],"date-time":"2026-06-03T22:50:04Z","timestamp":1780527004536,"version":"3.54.1"},"reference-count":27,"publisher":"World Scientific Pub Co Pte Ltd","issue":"03","funder":[{"name":"PSC-CUNY","award":["#63516-00 51"],"award-info":[{"award-number":["#63516-00 51"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Math. Log."],"published-print":{"date-parts":[[2021,12]]},"abstract":"<jats:p> For an arbitrary forcing class [Formula: see text], the [Formula: see text]-fragment of Todor\u010devi\u0107\u2019s strong reflection principle [Formula: see text]is isolated in such a way that (1) the forcing axiom for [Formula: see text] implies the [Formula: see text]-fragment of [Formula: see text], (2) the stationary set preserving fragment of [Formula: see text]is the full principle [Formula: see text], and (3) the subcomplete fragment of [Formula: see text]implies the major consequences of the subcomplete forcing axiom. This fragment of [Formula: see text]is consistent with [Formula: see text], and even with Jensen\u2019s principle [Formula: see text]. Along the way, some hitherto unknown effects of (the subcomplete fragment of) [Formula: see text]on mutual stationarity are explored, and some limitations to the extent to which fragments of [Formula: see text]may capture the effects of their corresponding forcing axioms are established. <\/jats:p>","DOI":"10.1142\/s0219061321500239","type":"journal-article","created":{"date-parts":[[2021,4,13]],"date-time":"2021-04-13T12:49:42Z","timestamp":1618318182000},"source":"Crossref","is-referenced-by-count":5,"title":["Canonical fragments of the strong reflection principle"],"prefix":"10.1142","volume":"21","author":[{"given":"Gunter","family":"Fuchs","sequence":"first","affiliation":[{"name":"The College of Staten Island (CUNY), 2800 Victory Blvd., Staten Island, NY 10314, USA"},{"name":"The Graduate Center (CUNY), 365 5th Avenue, New York, NY 10016, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"219","published-online":{"date-parts":[[2021,4,12]]},"reference":[{"key":"S0219061321500239BIB001","doi-asserted-by":"publisher","DOI":"10.2178\/jsl\/1190150034"},{"key":"S0219061321500239BIB002","doi-asserted-by":"publisher","DOI":"10.1007\/s001530050154"},{"key":"S0219061321500239BIB003","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-11035-5"},{"key":"S0219061321500239BIB004","first-page":"137","volume-title":"Infinite and Finite Sets","author":"Baumgartner J. 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