*Definition 1 [#vb69ce9a]
A topological space X is α-realcompact (or closed-complete) iff each 2-valued regular Borel measure in X is [[τ-additive]].

*Definition 2 [#ka504133]
Same as [[a-realcompact]].

*Reference [#xe1f5f5d]
:Definition 1|
R.J.Gardner and W.F.Pfeffer, ''Borel Measures'', in "Handbook of Set-Theoretic Topology", Elsevier, 1984, 961-1043.
:Definition 2|
Nancy Dykes, Generalizations of Realcompact Spaces, Pacific Journal of Mathematics Vol. 33, No. 3, 1970.