• @CanadaPlusOP
    link
    01 year ago

    IIANM you can construct an uncountable set of pairwise disjoint open intervals in this topology

    Hmm. Do you have a construction in mind?

    • @pdt
      link
      21 year ago

      I think you could just take an open interval in the order topology and then create a collection by turning the first dimension into a parameter. IIANM for each value of the parameter you’d get an open set, they’d be pairwise disjoint, and there’d be uncountably many of them.

      • @CanadaPlusOP
        link
        21 year ago

        Ah, you’re right, why didn’t I think of that? Thanks for all the help!