A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is
Embedding partially ordered spaces in topological semilattices
Proceedings of the American Mathematical Society
A partial order F on a compact space S is called continuous if T is a closed subset of S x S. In this paper, we define and study an embedding of the arbitrary compact continuously partially ordered space (S, T) into a corresponding compact topological semilattice Sr-We show that the structure of entirely determines the structure of (S, T). We prove that the inverse images under O of components in Sr are the order components of (5, T), where elements a and b of 5 are defined to be in the samedoi:10.1090/s0002-9939-1972-0292724-7 fatcat:gwngztsexbhl5ojjffnd4gepsy