About the cocompleteness of the category S(B) of Segal topological algebras
In this paper, we show that the category S(B) of Segal topological algebras is cocomplete, i.e., that the colimits of all direct systems in the category S(B) exist.
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| Format: | Article |
| Language: | English |
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Estonian Academy Publishers
2020-02-01
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| Series: | Proceedings of the Estonian Academy of Sciences |
| Subjects: | |
| Online Access: | https://kirj.ee/public/proceedings_pdf/2020/issue_1/proc-2020-1-53-56.pdf |
| _version_ | 1818147639346069504 |
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| author | Mart Abel |
| author_facet | Mart Abel |
| author_sort | Mart Abel |
| collection | DOAJ |
| description | In this paper, we show that the category S(B) of Segal topological algebras is cocomplete, i.e., that the colimits of all direct systems in the category S(B) exist. |
| first_indexed | 2024-12-11T12:38:27Z |
| format | Article |
| id | doaj.art-a9a15098b6714861b65f2e9f7f20da82 |
| institution | Directory Open Access Journal |
| issn | 1736-6046 1736-7530 |
| language | English |
| last_indexed | 2024-12-11T12:38:27Z |
| publishDate | 2020-02-01 |
| publisher | Estonian Academy Publishers |
| record_format | Article |
| series | Proceedings of the Estonian Academy of Sciences |
| spelling | doaj.art-a9a15098b6714861b65f2e9f7f20da822022-12-22T01:07:03ZengEstonian Academy PublishersProceedings of the Estonian Academy of Sciences1736-60461736-75302020-02-01691535610.3176/proc.2020.1.0610.3176/proc.2020.1.06About the cocompleteness of the category S(B) of Segal topological algebrasMart Abel0School of Digital Technologies, Tallinn University, Narva mnt. 25, 10120 Tallinn, Estonia Institute of Mathematics and Statistics, University of Tartu, Liivi 2, 50409 Tartu, Estonia; mart.abel@tlu.ee, mart.abel@ut.ee In this paper, we show that the category S(B) of Segal topological algebras is cocomplete, i.e., that the colimits of all direct systems in the category S(B) exist.https://kirj.ee/public/proceedings_pdf/2020/issue_1/proc-2020-1-53-56.pdfmathematicstopological algebrassegal topological algebrascategorycolimitcocompleteness |
| spellingShingle | Mart Abel About the cocompleteness of the category S(B) of Segal topological algebras Proceedings of the Estonian Academy of Sciences mathematics topological algebras segal topological algebras category colimit cocompleteness |
| title | About the cocompleteness of the category S(B) of Segal topological algebras |
| title_full | About the cocompleteness of the category S(B) of Segal topological algebras |
| title_fullStr | About the cocompleteness of the category S(B) of Segal topological algebras |
| title_full_unstemmed | About the cocompleteness of the category S(B) of Segal topological algebras |
| title_short | About the cocompleteness of the category S(B) of Segal topological algebras |
| title_sort | about the cocompleteness of the category s b of segal topological algebras |
| topic | mathematics topological algebras segal topological algebras category colimit cocompleteness |
| url | https://kirj.ee/public/proceedings_pdf/2020/issue_1/proc-2020-1-53-56.pdf |
| work_keys_str_mv | AT martabel aboutthecocompletenessofthecategorysbofsegaltopologicalalgebras |