Set Theory, Arithmetic, and Foundations of Mathematics: The continuum hypothesis, the generic-multiverse of sets, and the Ω conjecture
Set Theory, Arithmetic, and Foundations of Mathematics: The continuum hypothesis, the generic-multiverse of sets, and the Ω conjecture
复制标题
集合论、算术和数学基础：连续统假设、集合的泛属多元宇宙和 Ω 猜想
DOI：
10.1017/cbo9780511910616.003
复制
发表时间：
2011
期刊：
影响因子：
--
通讯作者：
W. Woodin
中科院分区：
文献类型：
--
作者：
W. Woodin
这真的是连续统假说没有答案的证据吗？世纪早期的另一个突出问题是关于射影集[8];这些是Rn的子集，这些子集是通过连续函数f：Rn → Rn和补集从闭集经过许多步骤产生的。一个函数f：R→ R是投射的，如果f的图是R × R的投射子集。假设射影一致化是断言：
Is this really evidence (as is often cited) that the Continuum Hypothesis has no answer? Another prominent problem from the early 20th century concerns the projective sets, [8]; these are the subsets of Rn which are generated from the closed sets in finitely many steps taking images by continuous functions, f : Rn → Rn, and complements. A function, f : R→ R, is projective if the graph of f is a projective subset of R × R. Let Projective Uniformization be the assertion: