The Generalized Borel Conjecture and Strongly Proper Orders
DOI10.2307/2001276zbMath0693.03031OpenAlexW4238513744MaRDI QIDQ3035273
Publication date: 1989
Full work available at URL: https://doi.org/10.2307/2001276
proper forcingSacks forcingstrong measure zero setGeneralized Borel Conjectureuniformly continuous maps onto [0,1]
Descriptive set theory (03E15) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Consistency and independence results (03E35) Foundations: limits and generalizations, elementary topology of the line (26A03) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)
Related Items (12)
Cites Work
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- \(\gamma\)-sets and other singular sets of real numbers
- Singular sets and Baire order
- Proper forcing
- Classical theory of totally imperfect spaces
- On the consistency of Borel's conjecture
- Mapping a set of reals onto the reals
- Variations on Lusin's Theorem
- Why Solovay real produces Cohen real
- On some properties of Hurewicz, Menger, and Rothberger
- Iterated perfect-set forcing
- Some Properties of Measure and Category
- Spaces without Large Projective Subspaces.
- Sur la non-invariance topologique de la propriété λ'
- Multiple Forcing
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