1. In topology and mathematics, a set that is closed and bounded, where every open cover has a finite subcover
In real analysis, compact sets are fundamental to proving the extreme value theorem.
Em análise real, os conjuntos compactos são fundamentais para provar o teorema do valor extremo.
2. A subset of a topological space that satisfies the compactness property
The closed interval [0,1] is a compact set in the real numbers.
O intervalo fechado [0,1] é um conjunto compacto nos números reais.