Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.11538 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914872625725440 |
|---|---|
| author | Razafindrakoto, Ando |
| author_facet | Razafindrakoto, Ando |
| contents | We discuss conditions under which certain compactifications of topological spaces can be obtained by composing the ultrafilter space monad with suitable reflectors. In particular, we show that these compactifications inherit their categorical properties from the ultrafilter space monad. We further observe that various constructions such as the prime open filter monad defined by H. Simmons, the prime closed filter compactification studied by Bentley and Herrlich, as well as the separated completion monad studied by Salbany fall within the same categorical framework. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_11538 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Separated and prime compactifications Razafindrakoto, Ando General Topology We discuss conditions under which certain compactifications of topological spaces can be obtained by composing the ultrafilter space monad with suitable reflectors. In particular, we show that these compactifications inherit their categorical properties from the ultrafilter space monad. We further observe that various constructions such as the prime open filter monad defined by H. Simmons, the prime closed filter compactification studied by Bentley and Herrlich, as well as the separated completion monad studied by Salbany fall within the same categorical framework. |
| title | Separated and prime compactifications |
| topic | General Topology |
| url | https://arxiv.org/abs/2407.11538 |