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「Math 245B: Real analysis (course announcement)」笔记:问题从哪来、证明卡在哪
Starting on January 5th, the beginning of the winter quarter here at UCL…
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把「Cohomology for dynamical systems」写成可执行的阅读路径
A dynamical system is a space X, together with an action of some group .…
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把「Tricks Wiki: Use basic examples to calibrate exp」写成可执行的阅读路径
Title: Use basic examples to calibrate exponents Motivation: In the more…
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把「A remark on the Kakeya needle problem」写成可执行的阅读路径
In 1917, Soichi Kakeya posed the following problem: Kakeya needle proble…
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「245B, notes 0: A quick review of measure and int」:数学直觉如何落到可检验的步骤
In these notes we quickly review the basics of abstract measure theory a…
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「245B, notes 0a. An alternate approach to the Car」笔记:问题从哪来、证明卡在哪
In this supplemental note to the previous lecture notes, I would like to…
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读懂「245B, notes 1: Signed measures and the Radon-Nik」:先把定义、反例和适用范围钉死
For these notes, is a fixed measurable space. We shall often omit the -a…
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把「245B, notes 2: Amenability, the ping-pong lemma,」写成可执行的阅读路径
Notational convention: In this post only, I will colour a statement red …
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读懂「245B, notes 3: L^p spaces」:先把定义、反例和适用范围钉死
Now that we have reviewed the foundations of measure theory, let us now …
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「245B notes 4: The Stone and Loomis-Sikorski repr」笔记:问题从哪来、证明卡在哪
A (concrete) Boolean algebra is a pair , where X is a set, and is a coll…