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The Pontryagin Duality of Compact O-Dimensional Semilattices and Its Applications
Preliminaries.- The category of discrete semilattices and the category of compact zero-dimensional semilattices.- The character theory of compact and discrete semilattices.- Application of duality to… Expand
Lie groups, convex cones, and semigroups
The geometry of cones wedges in Lie algebras invariant cones the local Lie theory of semigroups subsemigroups of Lie groups positivity embedding semigroups into Lie groups.
Old and new on S1(2)
The structure of the three dimensional Lie group (2,ℝ) and its universal covering group G is surveyed in an explicit fashion with detailed computational and geometrical information on their… Expand
Continuous Lattices and Their Applications
All Compact Hausdorff Lambda Models are Degenerate
The first mathematical model of untyped lambda calculus was discovered by DANA SCOTT in the category of algebraic lattices and Scott continuous maps. Expand
The algebraic theory of compact Lawson semilattices : applications of Galois connections to compact semilattices
Controllability of systems on a nilpotent Lie group