K-finite decidable objects and finite cardinals in an arbitrary topos
In an elemetary topos ε, we prove that the class of K-finite decidable objects is the same to the class of finite cardinals in E if and only if every K-finite decidable object X such that X → 1 is epic, then 1→ X is split epic.
| Author: | |
|---|---|
| Format: | article |
| Status: | Published version |
| Publication Date: | 2012 |
| Country: | Costa Rica |
| Institution: | Universidad de Costa Rica |
| Repository: | Portal de Revistas UCR |
| Language: | Spanish |
| OAI Identifier: | oai:portal.ucr.ac.cr:article/2101 |
| Online Access: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/2101 |
| Access Level: | Open access |
| Keyword: | Topoi K-finite objects decidable objects Teoría de topos objetos K-finitos objetos decidibles |
| Summary: | In an elemetary topos ε, we prove that the class of K-finite decidable objects is the same to the class of finite cardinals in E if and only if every K-finite decidable object X such that X → 1 is epic, then 1→ X is split epic. |
|---|