@InProceedings{huth94a, author = {M. Huth and A. Jung and K. Keimel}, title = {Linear Types, Approximation, and Topology}, pages = {110--114}, booktitle = {Logic in Computer Science}, year = 1994, publisher = {IEEE Computer Society Press}, abstract = {We enrich the $*$-autonomous category of complete lattices and maps preserving all suprema with the important concept of {\em approximation\/} by specifying a $*$-autonomous full subcategory LFS of {\em linear FS-lattices\/}. This is the greatest $*$-autonomous full subcategory of linked bicontinuous lattices. The modalities ! and ? mediate a duality between the upper and lower powerdomains. The distributive objects in LFS give rise to the {\em compact closed\/} $*$-autonomous full subcategory CD of {\em completely distributive lattices\/}. We characterize algebraic objects in LFS by forbidden substructures `\`a la Plotkin'.} }