Source: wikibot/sorgenfrey-plane
= Sorgenfrey plane
{wiki=Sorgenfrey_plane}
The Sorgenfrey plane is a topological space that is constructed from the real numbers, specifically using the Sorgenfrey line as its foundational element. The Sorgenfrey line is obtained by equipping the set of real numbers \\(\\mathbb\{R\}\\) with a topology generated by half-open intervals of the form \\(\[a, b)\\), where \\(a \< b\\). This creates a topology that is finer than the standard topology on \\(\\mathbb\{R\}\\).