On Faded Cosheaves of Sets
| dc.creator | Zouboff, Alexei | |
| dc.date | 1999-01-24 | |
| dc.date.accessioned | 2026-07-07T05:27:38Z | |
| dc.date.available | 2026-07-07T05:27:38Z | |
| dc.description | We prove that the category of faded cosheaves in Set over a sober topological space $(B,Ω)$ is equivalent to a category Sett$(B,Ω)$ having the same class of objects as Set$ / B$ has, but generally a wider class of morphisms. We also prove the converse: if each cosheaf over $T_0$-space $(B,Ω)$ is isomorphic to the cosheaf of tubes of an appropriate map ranging in $(B,Ω)$, then $(B,Ω)$ is sober. | |
| dc.description | AMS-LaTeX, 3 pages, corrected abstract | |
| dc.identifier | https://arxiv.org/abs/math/9901103 | |
| dc.identifier | http://arxiv.org/abs/math/9901103 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77992 | |
| dc.subject | General Topology | |
| dc.subject | Category Theory | |
| dc.subject | 54B40 (Primary) 18B99 (Secondary) | |
| dc.title | On Faded Cosheaves of Sets | |
| dc.type | text |