English

A view of canonical extension

Logic 2012-02-16 v1 Logic in Computer Science

Abstract

This is a short survey illustrating some of the essential aspects of the theory of canonical extensions. In addition some topological results about canonical extensions of lattices with additional operations in finitely generated varieties are given. In particular, they are doubly algebraic lattices and their interval topologies agree with their double Scott topologies and make them Priestley topological algebras.

Keywords

Cite

@article{arxiv.1009.2803,
  title  = {A view of canonical extension},
  author = {Mai Gehrke and Jacob Vosmaer},
  journal= {arXiv preprint arXiv:1009.2803},
  year   = {2012}
}

Comments

24 pages, 2 figures. Presented at the Eighth International Tbilisi Symposium on Language, Logic and Computation Bakuriani, Georgia, September 21-25 2009