LEADER 04805nam 22014175 450 001 9910154752603321 005 20190708092533.0 010 $a1-4008-8184-6 024 7 $a10.1515/9781400881840 035 $a(CKB)3710000000620144 035 $a(MiAaPQ)EBC4738596 035 $a(DE-B1597)467994 035 $a(OCoLC)979579085 035 $a(DE-B1597)9781400881840 035 $a(EXLCZ)993710000000620144 100 $a20190708d2016 fg 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aDegrees of Unsolvability. (AM-55), Volume 55 /$fGerald E. Sacks 205 $aSecond edition. 210 1$aPrinceton, NJ : $cPrinceton University Press, $d[2016] 210 4$d©1964 215 $a1 online resource (189 pages) 225 0 $aAnnals of Mathematics Studies ;$v248 311 $a0-691-07941-2 320 $aIncludes bibliographical references. 327 $tFrontmatter -- $tPreface to revised edition -- $tContents -- $t§1. Preliminaries -- $t§2 . A Continuum of Mutually Incomparable Degrees -- $t§3. Uncountable Suborderings of Degrees -- $t§4. The Priority Method Of Friedberg and Muchnik -- $t§5. An Existence Theorem For Recursively Enumerable Degrees -- $t§6 . The Jump Operator -- $t§7. An Interpolation Theorem for Recursively Enumerable Degrees -- $t§8. Minimal Upper Bounds for Sequences of Degrees -- $t§9. Minimal Degrees -- $t§10. Measure-Theoretic, Category and Descriptive Set-Theoretic Arguments -- $t§11. Initial Segments of Degrees -- $t§12. Further Results and Conjectures -- $tBibliography 330 $aThe description for this book, Degrees of Unsolvability. (AM-55), Volume 55, will be forthcoming. 410 0$aAnnals of mathematics studies ;$vNumber 55. 606 $aRecursive functions 606 $aUnsolvability (Mathematical logic) 610 $aAddition. 610 $aAleph number. 610 $aAlgebraic topology. 610 $aApproximation. 610 $aArithmetic function. 610 $aArithmetical set. 610 $aAxiom of choice. 610 $aBaire category theorem. 610 $aCardinality of the continuum. 610 $aCardinality. 610 $aCartesian product. 610 $aCategory theory. 610 $aCommutative property. 610 $aConjecture. 610 $aContinuum hypothesis. 610 $aContradiction. 610 $aCorollary. 610 $aCountable set. 610 $aDisjoint union. 610 $aEffective method. 610 $aEmpty set. 610 $aEnumeration. 610 $aEquation. 610 $aExistence theorem. 610 $aExistential quantification. 610 $aFinite set. 610 $aFixed-point theorem. 610 $aFourier analysis. 610 $aFubini's theorem. 610 $aGödel numbering. 610 $aIdentity function. 610 $aInequality (mathematics). 610 $aInfimum and supremum. 610 $aInteger. 610 $aLebesgue measure. 610 $aLimit of a sequence. 610 $aLimit point. 610 $aMathematical induction. 610 $aMathematics. 610 $aMean of a function. 610 $aMeasure (mathematics). 610 $aMetric space. 610 $aMonotonic function. 610 $aMostowski. 610 $aMutual exclusivity. 610 $aNatural number. 610 $aNull set. 610 $aOpen set. 610 $aPartial function. 610 $aPartially ordered set. 610 $aPredicate (mathematical logic). 610 $aProduct measure. 610 $aProduct topology. 610 $aReal number. 610 $aRecursion. 610 $aRecursive set. 610 $aRecursively enumerable set. 610 $aReductio ad absurdum. 610 $aRegular space. 610 $aRequirement. 610 $aScientific notation. 610 $aSequence. 610 $aSet (mathematics). 610 $aSimultaneous equations. 610 $aSubset. 610 $aTheorem. 610 $aTopology. 610 $aTransfinite induction. 610 $aTychonoff's theorem. 610 $aUncountable set. 610 $aUnion (set theory). 610 $aUpper and lower bounds. 610 $aVariable (mathematics). 610 $aW0. 610 $aWell-order. 610 $aWithout loss of generality. 610 $aZorn's lemma. 615 0$aRecursive functions. 615 0$aUnsolvability (Mathematical logic) 676 $a517.5 700 $aSacks$b Gerald E., $050334 801 0$bDE-B1597 801 1$bDE-B1597 906 $aBOOK 912 $a9910154752603321 996 $aDegrees of Unsolvability. (AM-55), Volume 55$92787591 997 $aUNINA