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Clement Yung's user avatar
Clement Yung's user avatar
Clement Yung
  • Member for 4 years, 11 months
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About

Pure mathematics graduate student hoping to enter academia. My research interests are set theory and Ramsey theory.

I completed most exercises in Jech's Set Theory from Chapter 1 to Chapter 24, and the suggested solutions can be found on my website. Usual disclaimers apply.

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question
18
Theorems in set theory that use computability theory tools, and vice versa
Apr 18, 2023
question
15
Can ($X^I$, product topology) and ($X^I$, box topology) be homeomorphic for some nontrivial $X$ and infinite $I$?
Oct 2, 2022
question
14
Is "There exists an unbounded non-measurable set but no bounded non-measurable set" consistent with $\mathsf{ZF}$?
May 18, 2021
question
9
Why is choice needed in Ellis' Lemma?
Feb 28, 2022
question
7
Models with fixed cardinality of non-Lebesgue measurable sets
May 15, 2021
question
6
Ramsey ultrafilters on partial order
Oct 20, 2021
question
6
Are these two definitions of $\mathcal{U}$-Ramsey set equivalent?
Oct 25, 2021
question
6
Properties of Jech's hierarchy of stationary sets (Exercise 8.13, 8.14 of Jech)
Apr 26, 2022
question
6
A pre-Ramsey set that is not Ramsey
Jul 29
answer
6
Models with fixed cardinality of non-Lebesgue measurable sets
May 15, 2021
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15
Proving that $f'(x)\le f(x), \forall x\in \mathbb{R}$
11
Can every functional equation be solved or proved unsolvable?
9
$\int_0^1f(x) dx =0$, $\int_0^1xf(x) dx =0$. How to show that f has at least two zeros?
8
Let $a$ and $b$ be elements of odd order in a finite group. Show that $a^2$ and $b^2$ commute if and only if $a$ and $b$ commute.
7
In which case these integrals are equal?