CONTINUOUS RAMSEY THEORY ON POLISH SPACES AND COVERING THE PLANE BY FUNCTIONS

Stefan Geschke; Martin Goldstern; Menachem Kojman

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CONTINUOUS RAMSEY THEORY ON POLISH SPACES AND COVERING THE PLANE BY FUNCTIONS

机译：波兰空间和函数覆盖面的连续拉姆西理论

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摘要

We investigate the Ramsey theory of continuous graph-structures on complete, separable metric spaces and apply the results to the problem of covering a plane by functions.

机译：我们研究了在完全可分离的度量空间上的连续图结构的Ramsey理论，并将结果应用于函数覆盖平面的问题。

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《Journal of mathematical logic》 |2004年第2期|共37页
作者
Stefan Geschke; Martin Goldstern; Menachem Kojman;
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正文语种 eng
中图分类数理逻辑、数学基础;
关键词
Pair coloring; continuous coloring; homogeneity number; Polish space; Cantor set; Lipschitz function; covering number; optimal forcing; tree forcing; perfect graphs;

机译：配对着色;连续着色;齐次数;波兰空间;康托集;Lipschitz函数;覆盖数;最优强迫;树强迫;完美图;

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专利

1. CONTINUOUS RAMSEY THEORY ON POLISH SPACES AND COVERING THE PLANE BY FUNCTIONS [J] . Stefan Geschke, Martin Goldstern, Menachem Kojman Journal of mathematical logic . 2004,第2期

机译：波兰空间和函数覆盖面的连续拉姆西理论
2. COUNTING RAMIFIED COVERINGS AND INTERSECTION THEORY ON SPACES OF RATIONAL FUNCTIONS I (COHOMOLOGY OF HURWITZ SPACES) [J] . S. K. LANDO, D. ZVONKINE Moscow mathematical journal . 2007,第1期

机译：有理函数空间上的计数覆盖面和相交理论I（胡尔维茨空间的经济学）
3. Ramified coverings of the two-dimensional sphere and the intersection theory in spaces of meromorphic functions on algebraic curves [J] . Lando SK. Russian mathematical surveys . 2002,第3期

机译：亚纯函数空间上代数曲线上二维球面的覆盖和相交理论
4. Effect of Polishing Plane Vibration on Large-Size Optical Workpieces in Continuous Polishing [C] . Haiyang Shan, Chaoyang Wei, Xueke Xu, Conference on Optifab . 2013

机译：连续抛光中抛光平面振动对大型光学工件的影响
5. On the Ramsey number r(m(1)P(3), m(2)P(3), m(3)P(3)) and related results: A survey of classical and generalized Ramsey theory with a presentation of the three color Ramsey number for multiple copies of the path on three vertices [D] . Scobee, Matthew Warren. 1993

机译：关于Ramsey数r（m（1）P（3），m（2）P（3），m（3）P（3））和相关结果：对经典和广义Ramsey理论的调查，并给出了三个顶点上路径的多个副本的三色拉姆西数
6. Functionals Invariant under One-Parameter Continuous Groups of Transformations in the Space of Continuous Functions [O] . I. A. Barnett 1920

机译：连续函数空间中一参数连续变换组下的泛函不变量
7. Continuous Ramsey Theory on Polish Spaces and Covering the Plane by Functions [O] . Stefan Geschke, Martin Goldstern, Menachem Kojman 2007

机译：波兰空间的连续Ramsey理论及其功能覆盖面

CONTINUOUS RAMSEY THEORY ON POLISH SPACES AND COVERING THE PLANE BY FUNCTIONS

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