The two-disjoint-copies property for compact spaces, homogeneity and connection with $C_p$-theory

Jerzy Kąkol, Ondřej Kurka, Wiesław Śliwa

A Tychonoff space $X$ has the two-disjoint-copies property (2DCP) if there exists a sequence $(K_n{)}_{n\in \omega }$ of non-empty compact subsets of $X$ such that each $K_n$ contains two d…