Please consider the following and tell me if i am wrong

**observation**

An open cover in X is a subclass of some given open base for X. This then should imply that an open cover for X is a

**basic open cover**contained in some given open base.This is because of the definition above and an open cover is a class of open sets whose union contains X

**conclusion**

Every open cover for a topological space X is a basic opencover. i am saying that an open cover must be contained in some given open base