On some properties of the class of charming spaces

We study the properties of the class of charming spaces. It is proved that if X is the preimage of a metrizable locally Lindel?f p-space(respectively, locally s-space) under a perfect mapping, then every remainder bX \ X of X in any compactification bX is 1-strong charming(respectively, charming). Some corollaries related to this statement are presented. It is shown that if X is a metrizable space, and X is a locally Lindel?f p-space(respectively, locally s-space), then for any compactification bX of X, the remainder bX \ X of X is 1-strong charming (respectively, charming). It is also proved that if X is a nowhere locally compact metrizable space, then X is a locally s-space (respectively, locally Lindel?f p-space) if and only if for any (or some) compactification bX of X, the remainder bX \ X of X is charming (respectively, 1-strong charming). Some related propositions are proved within this section. In addition, some properties of s-space are investigated.