Last-modified: 2010-12-28 (火) 22:20:15
A topological space X is α-realcompact (or closed-complete) iff each 2-valued regular Borel measure in X is τ-additive.
Same as a-realcompact.
- 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.