= Properties of topological spaces
{wiki=Category:Properties_of_topological_spaces}
Topological spaces are fundamental objects of study in topology, a branch of mathematics focused on the properties of space that are preserved under continuous transformations. Here are some key properties and concepts associated with topological spaces: 1. **Open and Closed Sets**: - A topology on a set \\(X\\) is a collection of subsets of \\(X\\) (called open sets) that includes the empty set and \\(X\\) itself, and is closed under arbitrary unions and finite intersections.
Back to article page