We consider compact spaces defined by adequate families of sets as well as continuous images of such spaces which are called AD-compact. The class of AD-compact spaces contains all polyadic spaces. We note some general properties of AD-compact spaces. We prove that there are nonpolyadic AD-compact spaces having a strictly positive measure. We also show that some results on Banach spaces C(K) valid for a dyadic K may be extended to K being AD-compact. © 1995.
CITATION STYLE
Plebanek, G. (1995). Compact spaces that result from adequate families of sets. Topology and Its Applications, 65(3), 257–270. https://doi.org/10.1016/0166-8641(95)00006-3
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