Constructing Compacta from Posets
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866915048295759872 |
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| author | Bartoš, Adam Bice, Tristan Vignati, Alessandro |
| author_facet | Bartoš, Adam Bice, Tristan Vignati, Alessandro |
| contents | We develop a simple method of constructing topological spaces from countable posets with finite levels, one which applies to all second countable T_1 compacta. This results in a duality amenable to building such spaces from finite building blocks, essentially an abstract analog of classical constructions defining compacta from progressively finer open covers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_01143 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Constructing Compacta from Posets Bartoš, Adam Bice, Tristan Vignati, Alessandro General Topology Category Theory 06A07, 54D70, 54D80, 54E45, 54H10 We develop a simple method of constructing topological spaces from countable posets with finite levels, one which applies to all second countable T_1 compacta. This results in a duality amenable to building such spaces from finite building blocks, essentially an abstract analog of classical constructions defining compacta from progressively finer open covers. |
| title | Constructing Compacta from Posets |
| topic | General Topology Category Theory 06A07, 54D70, 54D80, 54E45, 54H10 |
| url | https://arxiv.org/abs/2307.01143 |