Book contents
- Frontmatter
- Preface
- Contents
- TUTORIALS
- ARTICLES
- Modified bar recursion and classical dependent choice
- Choice and uniformity in weak applicative theories
- Compactness and incompactness phenomena in set theory
- Selection for Borel relations
- Interpolation in goal-directed proof systems 1
- Sequences of degrees associated with models of arithmetic
- The limit theory of generic polynomials
- Moschovakis's notion of meaning as applied to linguistics
- Tameness in expansions of the real field
- The model theory of compact complex spaces
- “Natural” representations and extensions of Gödel's second theorem 350
- Effective Hausdorff dimension
- Mutual stationarity in the coremodel
- The pair (Nn, N0) may fail N0-compactness
- Incompleteness theoremand its frontier
- Groups in Simple Theories
- References
Compactness and incompactness phenomena in set theory
from ARTICLES
Published online by Cambridge University Press: 31 March 2017
Book contents
- Frontmatter
- Preface
- Contents
- TUTORIALS
- ARTICLES
- Modified bar recursion and classical dependent choice
- Choice and uniformity in weak applicative theories
- Compactness and incompactness phenomena in set theory
- Selection for Borel relations
- Interpolation in goal-directed proof systems 1
- Sequences of degrees associated with models of arithmetic
- The limit theory of generic polynomials
- Moschovakis's notion of meaning as applied to linguistics
- Tameness in expansions of the real field
- The model theory of compact complex spaces
- “Natural” representations and extensions of Gödel's second theorem 350
- Effective Hausdorff dimension
- Mutual stationarity in the coremodel
- The pair (Nn, N0) may fail N0-compactness
- Incompleteness theoremand its frontier
- Groups in Simple Theories
- References
- Type
- Chapter
- Information
- Logic Colloquium '01 , pp. 139 - 150Publisher: Cambridge University PressPrint publication year: 2005
References
[1] and , PCF theory, To appear in the Handbook of Set Theory.
[2] and , Menas' result is best possible, Transactions of the American Mathematical Society, vol. 349 (1997), no. 5, pp. 2007–2034.Google Scholar
[3] , On the strong equality between supercompactness and strong compactness, Transactions of the American Mathematical Society, vol. 349 (1997), no. 1, pp. 103–128.Google Scholar
[4] and , Shelah's PCF theory and its applications, Annals of Pure and Applied Logic, vol. 50 (1990), pp. 207–254.Google Scholar
[5] , , and , A consistency result on weak reflection, Fundamenta Mathematicae, vol. 148 (1995), no. 1, pp. 91–100.Google Scholar
[6] and , The tree property, Advances in Mathematics, vol. 133 (1998), no. 1, pp. 1–32.
[7] , , and , Squares, scales and stationary reflection, Journal of Mathematical Logic, vol. 1 (2001), no. 1, pp. 35–99.Google Scholar
[8] , Canonical structure in the universe of set theory, Annals of Pure and Applied Logic, (To appear).
[9] and , Some independence results on reflection, Journal of the London Mathematical Society, vol. 59 (1999), no. 1, pp. 37–49.Google Scholar
[10] and , Marginalia to a theorem of Silver, Logic colloquium, Kiel, 1974 (Berlin), Springer-Verlag, 1975, pp. 115–142.
[11] and , Saturated filters at successors of singular, weak reflection and yet another weak club principle, Annals of Pure and Applied Logic, vol. 79 (1996), no. 3, pp. 289–316.Google Scholar
[12] , Weak reflection at the successor of a singular cardinal, Journal of the London Mathematical Society, vol. 67 (2003), pp. 1–15.Google Scholar
[13] , Games played on Boolean algebras, The Journal of Symbolic Logic, vol. 48 (1983), pp. 714–723.Google Scholar
[14] and , A very weak square principle, The Journal of Symbolic Logic, vol. 62 (1997), no. 1, pp. 175–196.Google Scholar
[15] , The fine structure of the constructible hierarchy, Annals ofMathematical Logic, vol. 4 (1972), pp. 229–308.Google Scholar
[16] , Circulated notes, 1998.
[17] , Making the supercompactness of indestructible under directed closed forcing, Israel Journal of Mathematics, vol. 29 (1978), pp. 385–388.Google Scholar
[18] and , The tree property at successors of singular cardinals, Archive for Mathematical Logic, vol. 35 (1996), no. 5-6, pp. 385–404.Google Scholar
[19] , Aronszajn trees and the independence of the transfer property, Annals of Mathematical Logic, vol. 5 (1972), pp. 21–46.Google Scholar
[20] , Cardinal arithmetic, Oxford University Press, Oxford, 1994.
[21] , An outline of inner model theory, To appear in the Handbook of Set Theory.