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Arithmetical set
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In mathematical logic, an arithmetical set (or arithmetic set) is a set of natural numbers that can be defined by a formula of first-order Peano arithmeticAlexander S. Kechris (377 words) [view diff] exact match in snippet view article find links to article
S. Kechris, "Classical Descriptive Set Theory", Springer-Verlag, 1995. H. Becker, A. S. Kechris, "The descriptive set theory of Polish group actions"Cantor set (6,396 words) [view diff] case mismatch in snippet view article find links to article
ISBN 978-1-4684-9396-2. Kechris, Alexander S. (1995). Classical Descriptive Set Theory. Graduate Texts in Mathematics. Vol. 156. Springer New York, NYMoschovakis coding lemma (505 words) [view diff] exact match in snippet view article find links to article
The Moschovakis coding lemma is a lemma from descriptive set theory involving sets of real numbers under the axiom of determinacy (the principle — incompatibleJohn P. Burgess (251 words) [view diff] case mismatch in snippet view article find links to article
California, Berkeley (PhD, 1974) Thesis Infinitary Languages and Descriptive Set Theory (1974) Doctoral advisor Jack Silver Philosophical work Era ContemporaryConull set (153 words) [view diff] exact match in snippet view article find links to article
automorphisms of a measure space and weak equivalence of cocycles", Descriptive set theory and dynamical systems (Marseille-Luminy, 1996), London Math. SocList of Greek mathematicians (1,086 words) [view diff] case mismatch in snippet view article find links to article
Scienceworld.wolfram.com. 1952-03-15. Moschovakis, Y.N. (1987). Descriptive Set Theory. p. vii. Macorini, Edgardo (1988). The History of Science and Technology:Borel isomorphism (200 words) [view diff] case mismatch in snippet view article find links to article
space. Federer–Morse theorem Alexander S. Kechris (1995) Classical Descriptive Set Theory, Springer-Verlag. Kallenberg, Olav (2017). Random Measures, TheoryGödel Lecture (594 words) [view diff] case mismatch in snippet view article find links to article
*Works* and the Work. 1998 Alexander S. Kechris, Current Trends in Descriptive Set Theory. 1999 Stephen Cook, Logic and computational complexity. 2000 JonComposant (128 words) [view diff] exact match in snippet view article find links to article
2002. ISSN 0001-8708. Zbl 1014.54021. Solecki, Sławomir (2002). "Descriptive set theory in topology". In Husek, M.; van Mill, J. (eds.). Recent progressSeparation theorem (258 words) [view diff] exact match in snippet view article find links to article
removing a small number of vertices. Lusin's separation theorem (descriptive set theory) states that for any two disjoint analytic subsets of a Polish spaceBetter-quasi-ordering (1,149 words) [view diff] case mismatch in snippet view article find links to article
Mansfield, Richard; Weitkamp, Galen (eds.). Recursive Aspects of Descriptive Set Theory. The Clarendon Press, Oxford University Press. pp. 124–38. ISBN 978-0-19-503602-2Trigonometric series (814 words) [view diff] exact match in snippet view article find links to article
Caltech. Cooke, Roger (1993). "Uniqueness of trigonometric series and descriptive set theory, 1870–1985". Archive for History of Exact Sciences. 45 (4): 281–334Andrzej Mostowski (826 words) [view diff] case mismatch in snippet view article find links to article
(with Kazimierz Kuratowski) Set Theory. With an Introduction to Descriptive Set Theory, Studies in Logic and Foundations of Mathematics #86, North HollandHonest leftmost branch (95 words) [view diff] exact match in snippet view article find links to article
Infinite, Perspectives in Mathematical Logic, Springer, Berlin, 1997. Yiannis N. Moschovakis, Descriptive set theory, North-Holland, Amsterdam, 1980. v t eCzesław Ryll-Nardzewski (488 words) [view diff] exact match in snippet view article find links to article
441 Kechris, Alexander S. (1995). "II. Borel Sets". Classical descriptive set theory. Graduate Texts in Mathematics. Vol. 156. New York: Springer VerlagVladimir Kanovei (388 words) [view diff] exact match in snippet view article find links to article
Kanoveĭ, V. G.; Lyubetskiĭ, V. A.; On some classical problems in descriptive set theory. (Russian) Uspekhi Mat. Nauk 58 (2003), no. 5(353), 3--88; translationBaire function (886 words) [view diff] case mismatch in snippet view article find links to article
French), Gauthier-Villars Kechris, Alexander S. (1995), Classical Descriptive Set Theory, Graduate Texts in Mathematics, vol. 156, Springer-Verlag, ISBN 978-1-4612-8692-9Indecomposable continuum (1,145 words) [view diff] exact match in snippet view article find links to article
tb52522.x. ISSN 1749-6632. S2CID 85143246. Solecki, S. (2002). "Descriptive set theory in topology". In Hušek, M.; van Mill, J. (eds.). Recent progressKazimierz Kuratowski (1,809 words) [view diff] exact match in snippet view article find links to article
Mostowski, Andrzej (1976) [1968], Set theory. With an introduction to descriptive set theory, Studies in Logic and the Foundations of Mathematics, vol. 86 (Second edDerived set (mathematics) (1,544 words) [view diff] case mismatch in snippet view article
Topology, Academic Press Kechris, Alexander S. (1995). Classical Descriptive Set Theory (Graduate Texts in Mathematics 156 ed.). Springer. ISBN 978-0-387-94374-9Sierpiński's theorem on metric spaces (261 words) [view diff] case mismatch in snippet view article find links to article
370. ISBN 3-88538-006-4. Kechris, Alexander S. (1995). Classical Descriptive Set Theory. Graduate Texts in Mathematics. Springer. Exercise 7.12, p. 40.Graduate Texts in Mathematics (5,056 words) [view diff] case mismatch in snippet view article find links to article
Groups, Christian Kassel (1995, ISBN 978-0-387-94370-1) Classical Descriptive Set Theory, Alexander S. Kechris (1995, ISBN 978-0-387-94374-9) IntegrationAbelian group (5,264 words) [view diff] case mismatch in snippet view article find links to article
Associative Algebra (Providence: AMS, 2004), p. 6. Gao, S., Invariant Descriptive Set Theory (Boca Raton, FL: CRC Press, 2008), p. 317. Albrecht, U., "ProductsLeroy P. Steele Prize (2,239 words) [view diff] exact match in snippet view article find links to article
basis for later developments in generalized recursion theory and descriptive set theory: Arithmetical predicates and function quantifiers, TransactionsReverse mathematics (4,781 words) [view diff] exact match in snippet view article find links to article
lemma (Σ0 1 separation). It is equivalent to several statements of descriptive set theory whose proofs make use of strongly impredicative arguments; thisGeorg Cantor (10,164 words) [view diff] exact match in snippet view article find links to article
America Cooke, Roger (1993). "Uniqueness of trigonometric series and descriptive set theory, 1870–1985". Archive for History of Exact Sciences. 45 (4): 281