Topology of uniform convergence and Čech-Stone compactification

We investigate the density of the topology of uniform convergence on the space of real valued continuous functions on a Tychonoff space X, d(C(X)), with respect to two other cardinal invariants. One is the weight of the Čech-Stone compactification of X, w(βX) and the other one is the compactness degree of X, δ(X). If X is a metrizable space then d(C(X))=w(βX)=2<δ(X). If X is a countably paracompact T4 space then w(βX)≤d(C(X))≤w(β(X×[0,1])).