Source: wikibot/sierpinski-space
= Sierpiński space
{wiki=Sierpiński_space}
The Sierpiński space is a basic example of a topological space in the field of topology. It is defined as a set \\( S = \\\{ 0, 1 \\\} \\) with a topology consisting of the following open sets: 1. The empty set \\( \\emptyset \\) 2. The set \\( S \\) itself, which is \\( \\\{ 0, 1 \\\} \\) 3.