thick compact

Definition

A Hausdorff space is called a thick compact space if for each cardinality m, there exist dense subsets X_m such that: if and , then and
where wclM denotes the weight of clM.

Reference

Marian Turzanski, Strong sequences, binary families and Esenin-Volpin's theorem, Comment. Math. Univ. Carolin. 33, 3 (1992) 563-569