Equalizer and coequalizer in category of closed-set lattices
LU Ling-xia · Basic Sciences Journal of Textile Universities · 2007
Let L be a closed-set lattice(i.e.,for each x∈L,there is a subset BxCopr(L) such that x=∨Bx),which is equivalent to Lop that is a spatial locale.The category of closed-set lattices and mappings which preserves arbitrary unions and nonzero co-prime elements is denoted by CL.In this paper,the closed-set-latticefies of join-semilattice-the new approach that the join-semilattice becomes closed-set lattice is introduced.And,using it,the structures of equalizer and coequalizer in CL are given.