Extension of a topological space
A topological space in which the given topological space is an everywhere-dense subspace. If is compact, then it is called a compact extension, and if is Hausdorff, it is called a Hausdorff extension.
Compact extensions are also called compactifications, cf. also Compactification.
|[a1]||E. Čech, "Topological spaces" , Wiley (1966)|
Extension of a topological space. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Extension_of_a_topological_space&oldid=13372