It is a challenge to define an uncountable set of real numbers that is dense in the real line and whose complement is also uncountable and dense. In this article we specify, for any positive integer k ...
If ÎĄ1 and ÎĄ2 are topologies defined on the set X, then the intersection topology $\operatorname{w.r.t.} \Upsilon_1$ and ÎĄ2 is the topology ÎĄ on X such that $\{U_1 \cap U_2 \mid U_1 \in \Upsilon_1 ...