*Definition [#u384af3f]
A Hausdorff space is called a thick compact space if for each cardinality m, there exist dense subsets X_m such that: if &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b$M%5csubset%20X_m$%7d%25.png); and &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b$%7cM%7c%5cle%20m$%7d%25.png);, then &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b$%5cmathrm%7bcl%7dM%5csubset%20X_m$%7d%25.png); and &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b$%5cmathrm%7bwcl%7dM%5cle%20m$%7d%25.png);
where wclM denotes the [[weight>weight (of topological space)]] of clM.
*Reference [#t0c8265b]
Marian Turzanski, ''Strong sequences, binary families and Esenin-Volpin's theorem'', Comment. Math. Univ. Carolin. 33, 3 (1992) 563-569