Martin Sleziak

Bratislava, Slovakia

http://thales.doa.fmph.uniba.sk/sleziak/papers/

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Overview of basic results about images and preimages

functions elementary-set-theory reference-request online-resources faq asked Apr 12, 2013 at 18:02

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151 votes

Overview of basic facts about Cauchy functional equation

functional-equations online-resources faq asked Jun 18, 2013 at 10:43

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107 votes

Chatting about mathematics (with real-time LaTeX rendering)

soft-question online-resources asked Nov 12, 2011 at 15:31

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78 votes

Overview of basic results on cardinal arithmetic

reference-request elementary-set-theory cardinals online-resources asked Apr 13, 2012 at 7:11

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67 votes

Deleted duplicates should show the duplicate target(s)

feature-request duplicate-questions deleted-questions redirection asked Dec 10, 2020 at 8:58

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58 votes

Is $1+x+\frac{x^2}2+\dots+\frac{x^n}{n!}$ irreducible?

abstract-algebra polynomials asked Apr 12, 2012 at 10:07

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57 votes

The list of related questions is shown empty

bug status-completed related-questions asked Jul 9, 2020 at 8:16

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46 votes

Useful mathematical fora

soft-question online-resources asked Jan 2, 2012 at 12:08

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45 votes

Why do we study Polish spaces?

general-topology soft-question descriptive-set-theory asked May 1, 2014 at 5:16

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39 votes

Does the Charcoal team plan to run SmokeDetector again?

discussion spam moderation-strike smoke-detector asked Aug 3 at 5:11

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Top Answers

249

Overview of basic results about images and preimages

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164

Overview of basic facts about Cauchy functional equation

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110

Let $X$ be an infinite dimensional Banach space. Prove that every Hamel basis of $X$ is uncountable.

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104

Overview of basic results on cardinal arithmetic

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How can this function have two different antiderivatives?

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Show that $\langle 2,x \rangle$ is not a principal ideal in $\mathbb Z [x]$

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What's going on with "compact implies sequentially compact"?

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Discontinuous linear functional

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Given $f(f(x))$ can we find $f(x)$?

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Useful mathematical fora

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How to define a bijection between $(0,1)$ and $(0,1]$?

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Why are Vandermonde matrices invertible?

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Axiom of Regularity

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The Duals of $l^\infty$ and $L^{\infty}$

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How to show that $\det(AB) =\det(A) \det(B)$?

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When can you switch the order of limits?

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Order of a product of subgroups. Prove that $o(HK) = \frac{o(H)o(K)}{o(H \cap K)}$.

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How do we prove $\cos(\pi/5) - \cos(2\pi/5) = 0.5$ ?.

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Proof of the hockey stick/Zhu Shijie identity $\sum\limits_{t=0}^n \binom tk = \binom{n+1}{k+1}$

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Can the supremum of continuous functions be discontinuous at every point of an interval?

mathoverflow.net

Convergence of $\sqrt{n}x_{n}$ where $x_{n+1} = \sin(x_{n})$

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Midpoint-Convex and Continuous Implies Convex

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Percentage of primes among the natural numbers

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Baire space homeomorphic to irrationals

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Proving that $G/N$ is an abelian group

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Negation of uniform convergence

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How to prove $1$,$\sqrt{2},\sqrt{3}$ and $\sqrt{6}$ are linearly independent over $\mathbb{Q}$?

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Existence of non-constant continuous functions

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Dual space of $\ell^\infty$

mathoverflow.net

Basic facts about ultrafilters and convergence of a sequence along an ultrafilter

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