Andrés Caicedo

Ann Arbor

http://www-personal.umich.edu/~caicedo/

Set theorist.

Father of two.

Associate editor at Mathematical Reviews.

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Convergence of $\sum(n^3\sin^2n)^{-1}$

nt.number-theory sequences-and-series asked May 14, 2010 at 6:09

mathoverflow.net

40 votes

Dual Schroeder-Bernstein theorem

set-theory axiom-of-choice asked Sep 15, 2010 at 3:43

mathoverflow.net

36 votes

Distinct well-orderings of the same set

set-theory axiom-of-choice asked Sep 29, 2010 at 18:24

mathoverflow.net

33 votes

A translation of the Cantor set contained in the irrationals

nt.number-theory ca.analysis-and-odes asked Feb 22, 2014 at 19:24

mathoverflow.net

33 votes

Are there written (19th century) sources expressing the belief that the intermediate value property is equivalent to continuity?

mathematics real-analysis asked Oct 29, 2014 at 7:13

hsm.stackexchange.com

25 votes

Finitely many arithmetic progressions

nt.number-theory co.combinatorics arithmetic-progression asked May 20, 2010 at 2:46

mathoverflow.net

25 votes

Sane bound on number of moves for Maker-Breaker game on $\mathbb R^2$ for $\{0,1,2,3,4\}$

co.combinatorics discrete-geometry combinatorial-game-theory asked Dec 17, 2012 at 19:03

mathoverflow.net

23 votes

Ramsey multiplicity

co.combinatorics ramsey-theory open-problem asked May 26, 2010 at 16:47

mathoverflow.net

21 votes

Splitting infinite sets

set-theory axiom-of-choice asked Jan 5, 2011 at 1:11

mathoverflow.net

21 votes

Fifth powers modulo a prime

nt.number-theory asked Oct 16, 2011 at 16:02

mathoverflow.net

Top Answers

148

Find the average of $\sin^{100} (x)$ in 5 minutes?

math.stackexchange.com

Proofs that require fundamentally new ways of thinking

mathoverflow.net

Continuity $\Rightarrow$ Intermediate Value Property. Why is the opposite not true?

math.stackexchange.com

Why is the continuum hypothesis believed to be false by the majority of modern set theorists?

math.stackexchange.com

Non-Borel sets without axiom of choice

mathoverflow.net

Wild automorphisms of the complex numbers

math.stackexchange.com

Behaviour of power series on their circle of convergence

mathoverflow.net

In a group we have $abc=cba$. Is it abelian?

math.stackexchange.com

Is it considered rude to point out typos, by sending an email to the reviewer, in a MathSciNet review?

academia.stackexchange.com

Completion of ZFC

mathoverflow.net

Is it possible for a function to be smooth everywhere, analytic nowhere, yet Taylor series at any point converges in a nonzero radius?

math.stackexchange.com

Are there any non-linear solutions of Cauchy's equation $f(x+y)=f(x)+f(y)$ without assuming the Axiom of Choice?

mathoverflow.net

Arguments against large cardinals

mathoverflow.net

Why Are the Reals Uncountable?

math.stackexchange.com

How is exponentiation defined in Peano arithmetic?

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Is it necessary that every function is a derivative of some function?

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Bijection between $\mathbb{R}$ and $\mathbb{R}/\mathbb{Q}$

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How can I prove that $n^7 - n$ is divisible by $42$ for any integer $n$?

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The Intuition behind l'Hopitals Rule

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The existence of the empty set is an axiom of ZFC or not?

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Why is the Möbius strip not orientable?

math.stackexchange.com

Solutions to the Continuum Hypothesis

mathoverflow.net

Is $6.12345678910111213141516171819202122\ldots$ transcendental?

math.stackexchange.com

Does Arzelà-Ascoli require choice?

mathoverflow.net

Can someone explain what is being said here in color publishing in the American Mathematical Monthly?

academia.stackexchange.com

If $f,g$ are both analytic and $f(z) = g(z)$ for uncountably many $z$, is it true that $f = g$?

math.stackexchange.com

What is the difference between Gödel's completeness and incompleteness theorems?

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A set that can be covered by arbitrarily small intervals

mathoverflow.net

What are the fields with 4 elements?

math.stackexchange.com

Linear independency before and after Linear Transformation

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