Hemicompact space
= Hemicompact space
{wiki=Hemicompact_space}
A **hemicompact space** is a type of topological space that is defined based on the properties of its open cover. Specifically, a topological space \\( X \\) is called hemicompact if every open cover of \\( X \\) has a countable subcover that is also locally finite. To unpack this a little further: - **Open Cover**: A collection of open sets whose union contains the entire space \\( X \\).