For , the statement is always false and it implies everything, in particular if . If and , then should be an integer.
Hint for the question: if where and are prime numbers then a set of the topology which contains n should contain and .
Consider the Natural numbers . and the collection of all subsets which satisfy the condition: if and , then . Show that is a topology on . Is it the discrete topology.
I can show all the conditions for eccept that and
Is it the discrete topology?? I have no idea about this.
help please
For , the statement is always false and it implies everything, in particular if . If and , then should be an integer.
Hint for the question: if where and are prime numbers then a set of the topology which contains n should contain and .