Topology
Re: Topology
What do you exactly mean by 2 examples ?
Well, one example could be R. It's clearly complete and it has disjoint dense subsets, namely Q and Qc (the complement of Q).
Do you want another example besides that one ?
Well, one example could be R. It's clearly complete and it has disjoint dense subsets, namely Q and Qc (the complement of Q).
Do you want another example besides that one ?
Re: Topology
Example 2: R^2 with Q^2 and (Q^2)c. I can give you n more examples if you want, where n is a natural number.
Re: Topology
What about the algebraic and tracsendent real numbers in R?