*Definition [#na0faa86]
A topological space is said to be super countably paracompact iff. for every decreasing sequence of closed sets &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b$F_n$%7d%25.png); with an empty intersection, there is a decreasing sequence of [[cozero set]]s &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b$P_n$%7d%25.png); with &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b$F_n%5csubset%20P_n$%7d%25.png); and &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b$%5cmathrm%7bcl%7dP_n$%7d%25.png); have an empty intersection.

*Reference [#cd1e59a9]
John J. Schommer and Mary Anne Swardson, ''Almost realcompactness'', Commentationes Mathematicae Universitatis Carolinae, Vol. 42 (2001), No. 2, 383–392.