搜索结果: 1-5 共查到“数理逻辑与数学基础 hypothesis”相关记录5条 . 查询时间(0.078 秒)
Violating the Singular Cardinals Hypothesis Without Large Cardinals
Singular Cardinals Hypothesis Large Cardinals Logic
2011/8/30
Abstract: We extend a transitive model V of ZFC + GCH cardinal preservingly to a model N of ZF + "GCH holds below Alef_omega" + "there is a surjection from the power set of Alef_omega onto lambda" whe...
Models for $(\infty, n)$-categories and the cobordism hypothesis
the cobordism hypothesis math
2010/11/8
In this paper we introduce the models for $(\infty, n)$-categories which have been developed to date, as well as the comparisons between them that are known and conjectured. We review the role of $(\i...
Deciding the Continuum Hypothesis with the Inverse Power Set
Continuum Hypothesis the Inverse Power Set
2010/11/9
We introduce the concept of inverse power set by adding two axioms to the Zermelo-Fraenkel set theory. This extends the Zermelo-Fraenkel set theory with a new type of set. We present different ways to...
Nonparametric tests of the Markov hypothesis in continuous-time models
Nonparametric tests Markov hypothesis continuous-time models
2010/11/18
We propose several statistics to test the Markov hypothesis for $\beta$-mixing stationary processes sampled at discrete time intervals. Our tests are based on the Chapman--Kolmogorov equation. We est...
Riemann hypothesis and some new asymptotically multiplicative integrals which contain the remainder of the prime-counting function $\pi(x)$
Riemann hypothesis asymptotically multiplicative integrals
2010/11/9
A new parametric integral is obtained as a consequence of the Riemann hypothesis. An asymptotic multiplicability is the main property of this integral