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 ...
Proceedings of the American Mathematical Society, Vol. 111, No. 3 (Mar., 1991), pp. 841-844 (4 pages) We make the translations of our partitions from [3] in the context of all countable subsets of a ...