摘要
The main interests here are to study the relationship between card(X)and card(P(X))and the connection between the separability of a space X and cardinality of some function space on it.We will convert the calculation of card(P(X))to the calculation of card(F(X!Q)).The main tool we used here is Zorn Lemma.
基金
MengWang is partially supported by NSF of China under Grant No.11771388。