Tricki
a repository of mathematical know-how

Finding subsets front page

Quick description

This page contains links to articles that are about techniques for finding subsets with given properties of sets such as \mathbb{N}, \mathbb{R}, \mathbb{R}^2, the complete graph on n vertices, the discrete cube, or the set of all subsets of \mathbb{N}. It is not about finding structured subsets such as subgroups or subspaces, so the techniques have a combinatorial flavour.

The articles

Just-do-it proofs

How to use Zorn's lemma

Transfinite induction

How to use the continuum hypothesis

Finding small nets Quick description ( A \delta-net of a metric space X is a subset \Delta\subset X such that for every x\in X there exists y\in\Delta such that d(x,y)\leq\delta. It is often useful to have a small \delta-net for a metric space. This article discusses a few techniques for finding them, giving particular reference to an idea that can be summarized by the following slogan: a maximal separated set is a net. )

Probabilistic combinatorics front page

Comments

Post new comment

(Note: commenting is not possible on this snapshot.)

Before posting from this form, please consider whether it would be more appropriate to make an inline comment using the Turn commenting on link near the bottom of the window. (Simply click the link, move the cursor over the article, and click on the piece of text on which you want to comment.)

snapshot
Notifications