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This tag is used if a reference is needed in a paper or textbook on a specific result.
1
vote
1
answer
317
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Reference request: a mathematical model of classical physics
Before entering the university I studied the book "University Physics with Modern Physics" (written by Young and Freedman). In that time I used to study physical problems with methods taught by that b …
4
votes
1
answer
296
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If $f=h\circ g$, then there's a measurable function $\tilde h$ such that $f=\tilde h\circ g$
Let $X,Y,Z$ be three standard measurable spaces and $f:X\to Z$ and $g:X\to Y$ two measurable functions. Suppose that there's a function $h:Y\to Z$ such that $f=h\circ g$. How can I show that there's a …
3
votes
2
answers
357
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Proof of the Dunford-Pettis theorem in the context of probability spaces
I'd like to know if there's a proof of the Dunford-Pettis theorem without using relatively advanced theorems of functional analysis such as Eberlein–Smulian Theorem. Since I'm only interested in proba …
4
votes
1
answer
842
views
Hausdorff dimension and surface measure
Could someone please indicate me some reference that contains the proof of the following theorem?
Below $\mathcal{H}^n$ denotes the $n$-dimensional Hausdorff outer measure in $\mathbb{R}^n$.
Theorem: …
6
votes
1
answer
421
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Book that shows a construction of ZFC with Calculus of Constructions
Is there any book that teaches the basics of Type Theory and Calculus of Inductive Constructions (CIC) and also shows a construction of ZFC (or preferably NBG) in CIC?
I only found the paper "Sets in …