A note on delay-inverse systems, I
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866908304977952768 |
|---|---|
| author | Uglešić, Nikica |
| author_facet | Uglešić, Nikica |
| contents | A generalization of an inverse system in a category was recently introduced, as well as that of the corresponding pro-category These so called the delay-inverse systems and delay-pro-category could potentially yield a new theory of (delay-) inverse systems as well as a kind of coarser abstract shape theory. However, we have proven that, whenever an indexing set has cardinality $\aleph_{n}, n\in\mathbb{N}_{0}$, the potential new theory reduces, in its essence (the classification and invariants), to the ordinary one. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_04888 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on delay-inverse systems, I Uglešić, Nikica Category Theory General Topology 54B35 (Primary), 55N05 (Secondary) A generalization of an inverse system in a category was recently introduced, as well as that of the corresponding pro-category These so called the delay-inverse systems and delay-pro-category could potentially yield a new theory of (delay-) inverse systems as well as a kind of coarser abstract shape theory. However, we have proven that, whenever an indexing set has cardinality $\aleph_{n}, n\in\mathbb{N}_{0}$, the potential new theory reduces, in its essence (the classification and invariants), to the ordinary one. |
| title | A note on delay-inverse systems, I |
| topic | Category Theory General Topology 54B35 (Primary), 55N05 (Secondary) |
| url | https://arxiv.org/abs/2504.04888 |