Matches in SemOpenAlex for { <https://semopenalex.org/work/W3104342973> ?p ?o ?g. }
Showing items 1 to 81 of
81
with 100 items per page.
- W3104342973 abstract "We prove a number of results on the determinacy of $sigma$-projective sets of reals, i.e., those belonging to the smallest pointclass containing the open sets and closed under complements, countable unions, and projections. We first prove the equivalence between $sigma$-projective determinacy and the determinacy of certain classes of games of variable length ${<}omega^2$ (Theorem 2.4). We then give an elementary proof of the determinacy of $sigma$-projective sets from optimal large-cardinal hypotheses (Theorem 4.4). Finally, we show how to generalize the proof to obtain proofs of the determinacy of $sigma$-projective games of a given countable length and of games with payoff in the smallest $sigma$-algebra containing the projective sets, from corresponding assumptions (Theorems 5.1 and 5.4)." @default.
- W3104342973 created "2020-11-23" @default.
- W3104342973 creator A5003413515 @default.
- W3104342973 creator A5008701404 @default.
- W3104342973 creator A5010522890 @default.
- W3104342973 date "2020-11-10" @default.
- W3104342973 modified "2023-09-27" @default.
- W3104342973 title "Long Games and $sigma$-Projective Sets." @default.
- W3104342973 cites W1936525462 @default.
- W3104342973 cites W1971511826 @default.
- W3104342973 cites W2002948603 @default.
- W3104342973 cites W2004845705 @default.
- W3104342973 cites W2007541981 @default.
- W3104342973 cites W2105223399 @default.
- W3104342973 cites W2508270892 @default.
- W3104342973 cites W2576738953 @default.
- W3104342973 cites W2602861779 @default.
- W3104342973 cites W2961053832 @default.
- W3104342973 cites W89719821 @default.
- W3104342973 cites W2081181631 @default.
- W3104342973 hasPublicationYear "2020" @default.
- W3104342973 type Work @default.
- W3104342973 sameAs 3104342973 @default.
- W3104342973 citedByCount "0" @default.
- W3104342973 crossrefType "posted-content" @default.
- W3104342973 hasAuthorship W3104342973A5003413515 @default.
- W3104342973 hasAuthorship W3104342973A5008701404 @default.
- W3104342973 hasAuthorship W3104342973A5010522890 @default.
- W3104342973 hasConcept C108710211 @default.
- W3104342973 hasConcept C110729354 @default.
- W3104342973 hasConcept C114614502 @default.
- W3104342973 hasConcept C118615104 @default.
- W3104342973 hasConcept C121332964 @default.
- W3104342973 hasConcept C134306372 @default.
- W3104342973 hasConcept C177846678 @default.
- W3104342973 hasConcept C202444582 @default.
- W3104342973 hasConcept C2524010 @default.
- W3104342973 hasConcept C2778049214 @default.
- W3104342973 hasConcept C33923547 @default.
- W3104342973 hasConcept C58468513 @default.
- W3104342973 hasConcept C62520636 @default.
- W3104342973 hasConceptScore W3104342973C108710211 @default.
- W3104342973 hasConceptScore W3104342973C110729354 @default.
- W3104342973 hasConceptScore W3104342973C114614502 @default.
- W3104342973 hasConceptScore W3104342973C118615104 @default.
- W3104342973 hasConceptScore W3104342973C121332964 @default.
- W3104342973 hasConceptScore W3104342973C134306372 @default.
- W3104342973 hasConceptScore W3104342973C177846678 @default.
- W3104342973 hasConceptScore W3104342973C202444582 @default.
- W3104342973 hasConceptScore W3104342973C2524010 @default.
- W3104342973 hasConceptScore W3104342973C2778049214 @default.
- W3104342973 hasConceptScore W3104342973C33923547 @default.
- W3104342973 hasConceptScore W3104342973C58468513 @default.
- W3104342973 hasConceptScore W3104342973C62520636 @default.
- W3104342973 hasLocation W31043429731 @default.
- W3104342973 hasOpenAccess W3104342973 @default.
- W3104342973 hasPrimaryLocation W31043429731 @default.
- W3104342973 hasRelatedWork W1434599801 @default.
- W3104342973 hasRelatedWork W196306359 @default.
- W3104342973 hasRelatedWork W1964285693 @default.
- W3104342973 hasRelatedWork W2047950576 @default.
- W3104342973 hasRelatedWork W2053641037 @default.
- W3104342973 hasRelatedWork W2137900858 @default.
- W3104342973 hasRelatedWork W2254194741 @default.
- W3104342973 hasRelatedWork W2522422116 @default.
- W3104342973 hasRelatedWork W2963220689 @default.
- W3104342973 hasRelatedWork W2992933133 @default.
- W3104342973 hasRelatedWork W3035779013 @default.
- W3104342973 hasRelatedWork W3103485881 @default.
- W3104342973 hasRelatedWork W3120564056 @default.
- W3104342973 hasRelatedWork W3124694813 @default.
- W3104342973 hasRelatedWork W3166433890 @default.
- W3104342973 hasRelatedWork W3182967673 @default.
- W3104342973 hasRelatedWork W3186095916 @default.
- W3104342973 hasRelatedWork W3193944799 @default.
- W3104342973 hasRelatedWork W744920664 @default.
- W3104342973 hasRelatedWork W2007750284 @default.
- W3104342973 isParatext "false" @default.
- W3104342973 isRetracted "false" @default.
- W3104342973 magId "3104342973" @default.
- W3104342973 workType "article" @default.