Construction of Compactifications using Essential Semilattice Homomorphisms

Ordered Quotients and the Semilattice of Ordered Compactifications

Douglas D. MOONEY, Thomas A. RICHMOND Western Kentucky University Bowling Green, KY 42101 USA The ideas of quotient maps, quotient spaces, and upper semicontinuous decompositions are extended to the setting of ordered topological spaces. These tools are used to investigate the semilattice of ordered compactifications and to construct ordered compactifications with o-totally disconnected and o-z...

Construction of Homomorphisms of ^-continuous Lattices

We present a direct approach to constructing homomorphisms of A/-continuous lattices, a generalization of continuous lattices, into the unit interval, and show that an M -continuous lattice has sufficiently many homomorphisms into the unit interval to separate the points. In the past twenty years the concept of a continuous lattice and its generalizations have attracted more and more attention....

Constructing Homomorphisms through E-unitary Inverse Semigroups via Partial Group Actions and Semilattice Actions

compactifications and representations of transformation semigroups

this thesis deals essentially (but not from all aspects) with the extension of the notion of semigroup compactification and the construction of a general theory of semitopological nonaffine (affine) transformation semigroup compactifications. it determines those compactification which are universal with respect to some algebric or topological properties. as an application of the theory, it is i...

Construction of List Homomorphisms by Tupling and Fusion

List homomorphisms are functions which can be e ciently computed in parallel since they ideally suit the divide-and-conquer paradigm. However, some interesting functions, e.g., the maximum segment sum problem, are not list homomorphisms. In this paper, we propose a systematic way of embedding them into list homomorphisms so that parallel programs are derived. We show, with an example, how a sim...