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CONTENTS0. Introduction...............................................................51. Notations and basic facts .........................................62. Semicontinuous functions.........................................93. Lattices or normal semicontinuous functions...........124. Q(∧)C(X).................................................................165. Q(∧)C(X) versus Q(∨)C(X)......................................216. Q(·) versus Q(∧) and Q(∨)......................................227....
Two properties of the lattice of quasivarieties of pseudocomplemented semilattices are established, namely, in the quasivariety generated by the 3-element chain, there is a sublattice freely generated by ω elements and there are quasivarieties.
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