Resumen de A topological characterization of an almost Boolean algebra

T. S. S. R. K. Rao, K. Rama Prasad, G. Vara Lakshmi, Ch. Santhi Sundar Raj

• For any Boolean space X and a discrete almost distributive lattice D, it is proved that the set C(X, D) of all continuous mappings of X into D, when D is equipped with the discrete topology, is an almost Boolean algebra under pointwise operations. Conversely, it is proved that any almost Boolean algebra is a homomorphic image of C(X,D) for a suitable Boolean space X and a discrete almost distributive lattice D.