Darboux functions with nowhere dense graphs

Michal Ryszard Wojcik

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Darboux functions with nowhere dense graphs

机译：Darboux函数无处密集的图

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摘要

We study the set of discontinuity points of real-valued Darboux functions with nowhere dense graphs. It is shown to be meager. By generic constructions we show that it can be any meager countable union of perfect sets and any meager countable union of pairwise disjoint closed sets.

机译：我们研究了无密集图的实值Darboux函数的不连续点集。它显示是微不足道的。通过泛型构造，我们表明它可以是完美集的任何微分可数联合，以及成对的不相交闭集的任何微分可数联合。

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来源
《Topology and its applications 》 |2014年第1期| 30-39| 共10页
作者
Michal Ryszard Wojcik;
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作者单位

Institute of Geography and Regional Development, University of Wroclaw, pl. Uniwersytecki 1, 50-137 Wroclaw, Poland;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Darboux property; Connected graph; (G)_δ graph; Baire one function;

机译：达布克斯财产;连接图;（G）_δ图;贝儿一功能;

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专利

1. Functions with Dense Graphs [J] . ELI DUPREE, BEN MATHES Mathematics Magazine . 2013 ,第5期

机译：密集图的功能
2. Nowhere dense sets and real-valued functions with closed graphs [J] . IvanBaggs International journal of mathematics and mathematical sciences . 1989 ,第1期

机译：封闭图无处密集集合和实值函数
3. Q-LINEAR FUNCTIONS, FUNCTIONS WITH DENSE GRAPH, AND EVERYWHERE SURJECTIVIf Y [J] . F I GARCfA-PACHECO, F RAMBLA-BARRENO, I B. SEOANE-SEPULVEDA Mathematica scandinavica . 2008 ,第1期

机译：Q线性函数，具有稠密图形的函数以及在任何地方的曲面
4. Finding non-polynomial positive invariants and lyapunov functions for polynomial systems through Darboux polynomials [C] . Goubault Eric, Jourdan Jacques-Henri, Putot Sylvie, American Control Conference . 2014

机译：通过Darboux多项式找到多项式系统的非多项式正不变量和lyapunov函数
5. Thermal density functional theory, ensemble density functional theory, and potential functional theory for warm dense matter. [D] . Pribram-Jones, Aurora. 2015

机译：热密度泛函理论，整体密度泛函理论和温暖致密物质的潜在泛函理论。
6. Does three-dimensional functional infrared imaging improve breast cancer detection based on digital mammography in women with dense breasts? [O] . Roxanna J. Hellgren, Ann E. Sundbom, Kamila Czene, -1

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8. Nomographic Functions are Nowhere Dense [R] . Buck, R. C. 1981

机译：Nomographic功能无处不在

Darboux functions with nowhere dense graphs

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