A compactum (plural: compacta) is a compact metric space.
An example of a compactum is any finite discrete metric space. Also, the space
is a compactum, with the usual metric inherited from the real line. Notice that this
latter example is a compactum that is not a continuum,
because it is not connected. A continuum is a connected compactum.
![[0,1] union [2,3]](/images/equations/Compactum/Inline1.svg)
is a compactum, with the usual metric inherited from the real line. Notice that this
latter example is a compactum that is not a continuum,
because it is not connected. A continuum is a connected compactum.
