MoL-2006-09: Vosmaer, Jacob (2006) Connecting the profinite completion and the canonical extension using duality. [Report]
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Abstract
We show using duality and category theory that the profinite
completion $\mathbb{\hat A}$ of a bounded distributive lattice
expansion $\mathbb{A}$ is a homomorphic image of the canonical
extension $\mathbb{A}^{\sigma}$. Moreover the natural mapping
$\mu\colon \mathbb{A} \rightarrow \mathbb{\hat A}$ can be extended
to a surjection $\nu \colon \mathbb{A}^{\sigma} \twoheadrightarrow
\mathbb{\hat A}$.
| Item Type: | Report |
|---|---|
| Report Nr: | MoL-2006-09 |
| Series Name: | Master of Logic Thesis (MoL) Series |
| Year: | 2006 |
| Date Deposited: | 12 Oct 2016 14:38 |
| Last Modified: | 12 Oct 2016 14:38 |
| URI: | https://eprints.illc.uva.nl/id/eprint/772 |
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