Rational Numbers Set Is Dense. A minimal element of ais a number m minasuch that m2aand mxfor every x2a. Suppose that aˆr is a set of real numbers.
The complement of a closed nowhere dense set is a dense open set. A minimal element of ais a number m minasuch that m2aand mxfor every x2a. Given a topological space x a subset a of x that can be expressed as the union of countably many nowhere dense subsets of x is called meagre.
A minimal element of ais a number m minasuch that m2aand mxfor every x2a.
Featured on meta opt in alpha test for a new stacks editor. A minimal element of ais a number m minasuch that m2aand mxfor every x2a. Browse other questions tagged real analysis rational numbers or ask your own question. Theorem 1 the density of the rational numbers.