Matches in SemOpenAlex for { <https://semopenalex.org/work/W2950271205> ?p ?o ?g. }
Showing items 1 to 80 of
80
with 100 items per page.
- W2950271205 abstract "The present paper has three themes. First, we continue the investigations started in Judah, Roslanowski and Shelah math.LO/9310224 and Roslanowski and Shelah math.LO/9807172, math.LO/9703222, and we investigate the method of norms on possibilities in the context of ccc forcing notions, getting a number of constructions of nicely definable ccc forcings. The second theme of the paper is a part of the general program ``how special are random and Cohen forcing notions (or: the respective ideals)''. Shelah math.LO/9303208 shows that the two forcing notions may occupy special positions in the realm of nicely definable forcing notions. In this realm we may classify forcing notions using the methods of Shelah [Sh:630] (math.LO/9712283), [Sh:669] and, for example, declare that very Souslin (or generally omega-nw-nep) ccc forcing notions are really nice. Both the Cohen forcing notion and the random forcing notion and their FS iterations (and nice subforcings) are all ccc omega-nw-nep, and Problem 4.24 of math.LO/9906113 asked if we have more examples. It occurs that our method relatively easily results in very Souslin ccc forcing notions. The third theme is Sweet & Sour, and it is related to one of the most striking differences between the random and the Cohen forcing notions that appears when we consider the respective regularity properties of projective sets: the Lebesgue measurability of Sigma^1_3 sets implies aleph_1 is inaccessible in L, while one can construct (in ZFC) a forcing notion P which forces ``projective subsets of R have the Baire property'' (see Shelah [Sh:176])." @default.
- W2950271205 created "2019-06-27" @default.
- W2950271205 creator A5023432469 @default.
- W2950271205 creator A5024923217 @default.
- W2950271205 date "1999-09-20" @default.
- W2950271205 modified "2023-09-27" @default.
- W2950271205 title "Sweet & Sour and other flavours of ccc forcing notions" @default.
- W2950271205 cites W1538545999 @default.
- W2950271205 cites W1563529630 @default.
- W2950271205 cites W1594140616 @default.
- W2950271205 cites W1595388840 @default.
- W2950271205 cites W1969555173 @default.
- W2950271205 cites W1981501134 @default.
- W2950271205 cites W1986446858 @default.
- W2950271205 cites W1997553844 @default.
- W2950271205 cites W2029749844 @default.
- W2950271205 cites W2050874696 @default.
- W2950271205 cites W2063292248 @default.
- W2950271205 cites W2151590808 @default.
- W2950271205 cites W2157726440 @default.
- W2950271205 cites W2500999094 @default.
- W2950271205 cites W1995249193 @default.
- W2950271205 hasPublicationYear "1999" @default.
- W2950271205 type Work @default.
- W2950271205 sameAs 2950271205 @default.
- W2950271205 citedByCount "0" @default.
- W2950271205 crossrefType "posted-content" @default.
- W2950271205 hasAuthorship W2950271205A5023432469 @default.
- W2950271205 hasAuthorship W2950271205A5024923217 @default.
- W2950271205 hasConcept C111919701 @default.
- W2950271205 hasConcept C134306372 @default.
- W2950271205 hasConcept C138885662 @default.
- W2950271205 hasConcept C166957645 @default.
- W2950271205 hasConcept C197115733 @default.
- W2950271205 hasConcept C205649164 @default.
- W2950271205 hasConcept C2779343474 @default.
- W2950271205 hasConcept C2779557605 @default.
- W2950271205 hasConcept C33566652 @default.
- W2950271205 hasConcept C33923547 @default.
- W2950271205 hasConcept C41008148 @default.
- W2950271205 hasConcept C41895202 @default.
- W2950271205 hasConceptScore W2950271205C111919701 @default.
- W2950271205 hasConceptScore W2950271205C134306372 @default.
- W2950271205 hasConceptScore W2950271205C138885662 @default.
- W2950271205 hasConceptScore W2950271205C166957645 @default.
- W2950271205 hasConceptScore W2950271205C197115733 @default.
- W2950271205 hasConceptScore W2950271205C205649164 @default.
- W2950271205 hasConceptScore W2950271205C2779343474 @default.
- W2950271205 hasConceptScore W2950271205C2779557605 @default.
- W2950271205 hasConceptScore W2950271205C33566652 @default.
- W2950271205 hasConceptScore W2950271205C33923547 @default.
- W2950271205 hasConceptScore W2950271205C41008148 @default.
- W2950271205 hasConceptScore W2950271205C41895202 @default.
- W2950271205 hasLocation W29502712051 @default.
- W2950271205 hasOpenAccess W2950271205 @default.
- W2950271205 hasPrimaryLocation W29502712051 @default.
- W2950271205 hasRelatedWork W1485621054 @default.
- W2950271205 hasRelatedWork W1493849705 @default.
- W2950271205 hasRelatedWork W1572432771 @default.
- W2950271205 hasRelatedWork W1654901080 @default.
- W2950271205 hasRelatedWork W1782765486 @default.
- W2950271205 hasRelatedWork W1998694312 @default.
- W2950271205 hasRelatedWork W2007931686 @default.
- W2950271205 hasRelatedWork W2019676869 @default.
- W2950271205 hasRelatedWork W2030172816 @default.
- W2950271205 hasRelatedWork W2037512686 @default.
- W2950271205 hasRelatedWork W2074098940 @default.
- W2950271205 hasRelatedWork W2104913734 @default.
- W2950271205 hasRelatedWork W2138117894 @default.
- W2950271205 hasRelatedWork W2539770024 @default.
- W2950271205 hasRelatedWork W2950419471 @default.
- W2950271205 hasRelatedWork W2951399885 @default.
- W2950271205 hasRelatedWork W2951878090 @default.
- W2950271205 hasRelatedWork W3000031915 @default.
- W2950271205 hasRelatedWork W3101660009 @default.
- W2950271205 hasRelatedWork W3188365535 @default.
- W2950271205 isParatext "false" @default.
- W2950271205 isRetracted "false" @default.
- W2950271205 magId "2950271205" @default.
- W2950271205 workType "article" @default.