Property of being semi-Kelley is a sequentially strong Whitney-reversible property

A continuum X is said to be semi-Kelley provided that for each subcontinuum K and for every two maximal limit continua M and L in K either M⊂L or L⊂M. In this paper we show that the property of being semi-Kelley is a sequentially strong Whitney-reversible property, with this result we obtain that the property of being semi-Kelley is a Whitney-reversible property, answering a question posed by A. Illanes in [2]. Moreover, we generalize the Charatonik's Theorem ([4, p. 83, 4.5]) and we prove a version of this theorem on n-fold Symmetric Product.