Contagious Properties

A class of maximal topologies

“…Lightly compact spaces are called feebly compact in [14,15]. Pseudocompact spaces satisfy P-l, P-3 [12], P-4 [8] and P-5, but not P-2. However P-2 is satisfied for pseudocompactness in the class of completely regular spaces [9] and maximal pseudocompact spaces are T x [7].…”

“…102 DOUGLAS E. CAMERON whenever a dense subset of a space has property JR, the entire space has property JR [8]). P-5: finitely unionable (If (X, r) is a topological space, A, =X, i = l, ,n are subsets which have property R, then UΓ =1 A, has property R).…”