Yes, it does. This is essentially Theorem $2.3$ of Mary Ellen Rudin, _Dowker Spaces_ , in the _Handbook of Set-Theoretic Topology_ , K. Kunen & J.E. Vaughan, eds., North-Holland, 1984.
Yes, it does. This is essentially Theorem $2.3$ of Mary Ellen Rudin, _Dowker Spaces_ , in the _Handbook of Set-Theoretic Topology_ , K. Kunen & J.E. Vaughan, eds., North-Holland, 1984.