ON DENSITY TOPOLOGIES GENERATED BY FUNCTIONS

Jacek Hejduk

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ON DENSITY TOPOLOGIES GENERATED BY FUNCTIONS

机译：函数生成的密度拓扑

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摘要

For every positive real function f defined on the set of positive reals and every Lebesgue measurable set A the concept of the f-symmetrical density at a fixed point x is introduced. If the family consisting of all Lebesgue measurable sets such that every

机译：对于在正实数集上定义的每个正实函数f和每个Lebesgue可测集A，都引入了固定点x上f对称密度的概念。如果这个家庭包括所有Lebesgue可衡量的集合，

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来源
《Real analysis exchange》 |2007年第report期|p.207|共1页
作者
Jacek Hejduk;
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作者单位

Faculty of Mathematics and Computer Science University of Lodz ul. Banacha 22 90-238 Lodz, Poland;

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正文语种 eng
中图分类应用数学;
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3. On the comparison of the density type topologies generated by sequences and by functions [J] . MALGORZATA FILIPCZAK, TOMASZ FILIPCZAK Annales Societatis Mathematicae Polonae, Seria I. Commentationes mathematicae . 2009,第2期

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4. PARAMETRIZING RANDOM TOPOLOGY GENERATING FUNCTIONS [C] . Thorsten Kisner, Firoz Kaderali, Helge Hemmer Modelling and simulation : Science and technology innovation for sustainable development . 2008

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7. Density type topologies generated by functions. 𝑓-density as a generalization of ⟨s⟩-density and ψ-density [O] . Tomasz Filipczak 2013

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8. Function Space Topologies - the Graph Topology [R] . Bracken, P. A. 1969

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ON DENSITY TOPOLOGIES GENERATED BY FUNCTIONS

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