&ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b$G_%5cdelta$%7d%25.png);-relatively realcompact

*Definition [#a3b4b5b7]
A subset A of a topological space X is called &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b$G_%5cdelta$%7d%25.png);-relatively realcompact in X iff &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b$G_%5cdelta%5ctext%7b-cl%7d_%7b%5cnu%20X%7dA%5csubset%20X$%7d%25.png);, where &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b$G_%5cdelta%5ctext%7b-cl%7d_%7b%5cnu%20X%7dA$%7d%25.png); denotes the set of all points p such that whenever G is a &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b$G_%5cdelta$%7d%25.png);-set containing p, G meets A, called the &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b$G_%5cdelta$%7d%25.png);-closure of A in &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b$%5cnu%20X$%7d%25.png);.
*Remark [#h4b16f69]
-See [[relatively realcompact]].

*Reference [#zac102ed]
-J. J. Shommer, ''Relatively realcompact sets and nearly pseudocompact spaces'', Comment. Math. Univ. Calorin. 34,2 (1993) 375-382.