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Universally measurable set
Universally measurable set In mathematics, a subset X is universally measurable if it is measurable with respect to every complete probability measure ... math>X. In particular, a universally measurable set of reals is necessarily Lebesgue ...
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Non-measurable set
Non-measurable set In mathematics, a non-measurable set is a set whose structure is so complicated it ...
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Talk:Universally measurable set
Talk:Universally measurable set Finiteness condition So it seems I goofed ... matter? Can someone cook up a universally measurable set of reals that's not measurable with respect to, say, Hausdorff measure ...
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Talk:Non-measurable set
Talk:Non-measurable set Previous version Here is the text of ... my changes: In measure theory, a non-measurable set is one which does not belong to the algebra of measurable sets of some measurable space. The ...
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Null set
Null set In measure theory, a null set is a set that is negligible for the purposes of ... a given measure m. The term "null set" is sometimes also used to refer to the empty set; see that article. Alternatively, it may ...
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Vitali set
Vitali set In mathematics, the Vitali set is an elementary example of a set of real numbers that is not Lebesgue measurable. The Vitali theorem is the existence theorem ... to describe explicitly. The importance of non-measurable sets Certain sets have a definite ...
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Measurable function
Measurable function In mathematics, measurable functions are well-behaved functions between measurable spaces. Functions studied in analysis that are not measurable are generally considered pathological. If Σ is a σ-algebra over a set X and Τ is a σ- ...
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Mandelbrot set
Mandelbrot set A rendering of the Mandelbrot set: black points represent the stable points under ... the iterative map In mathematics, the Mandelbrot set is a fractal that is defined as the set of points c in the complex plane ... 2{x_n} {y_n} + b \, The Mandelbrot set can be divided into an infinite ...
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Analytic set
Analytic set This article is about analytic sets as defined in descriptive set theory. There is another notion in the ... space and a Borel set measurable (indeed, universally measurable) and have the property of Baire ...
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Measurable cardinal
Measurable cardinal In mathematics, a measurable cardinal is a certain kind of large cardinal number. Formally, a measurable cardinal is a cardinal number κ such ... 0-1-valued measure on the power set of κ. Equivalently, κ is measurable if it is the critical point ...
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