A Pointfree Analogues of Lattice-valued Bitopological Spaces

M. Azab Abd-Allah, K. El-Saady, A. Ghareeb, A. Temraz

The concept of coupled semi-quantales is introduced. An adjunction between the category of coupled semi-quantales and the category of lattice-valued biquasi-topological spaces is established. The topological and the lattice-theoretic concepts of regularity and compactness are extended to both lattice-valued biquasi-topological spaces and coupled semi-quantales, respectively. Some relations among these axioms are established.