Marra, V;
Reggio, L;
(2020)
A characterisation of the category of compact Hausdorff spaces.
Theory and Applications of Categories
, 35
(51)
pp. 1871-1906.
Preview |
Text
1808.09738v4.pdf - Other Download (406kB) | Preview |
Abstract
We provide a characterisation of the category KH of compact Hausdorff spaces and continuous maps by means of categorical properties only. To this aim we introduce a notion of filtrality for coherent categories, relating certain lattices of subobjects to their Boolean centers. Our main result reads as follows: Up to equivalence, KH is the unique non-trivial well-pointed pretopos which is filtral and admits all set-indexed copowers of its terminal object.
| Type: | Article |
|---|---|
| Title: | A characterisation of the category of compact Hausdorff spaces |
| Open access status: | An open access version is available from UCL Discovery |
| Publisher version: | http://www.tac.mta.ca/tac/volumes/35/51/35-51abs.h... |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | compact Hausdorff spaces, coherent category, pretopos, filtrality, Stone spaces, exact completion |
| UCL classification: | UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science UCL > Provost and Vice Provost Offices > UCL BEAMS UCL |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10152554 |
Archive Staff Only
 |
View Item |
