*Definition [#q0bceb3e]
α is a cardinal.
If a topological space is [[C_α-compact]] in itself, it is called α-pseudocompact.

*Reference [#g5f34cc0]
Manuel Sanchis, Angel Tamariz-Mascarua, ''p-pseudocompactness and related topics in topological spaces'', Topology and its Applications 98 (1999) 323-343.