 Filtered category

A category is filtered when every finite diagram in it admits a cocone. Equivalently, it is nonempty, every pair of objects maps to a common object, and every pair of parallel arrows becomes equal after postcomposition.

The term "filtered category" can refer to various contexts, depending on the field in which it is used. Here are a few interpretations: 1. **E-commerce and Retail:** In the context of online shopping, a "filtered category" might refer to a selection of products that have been narrowed down based on specific criteria or filters, such as price range, brand, size, color, or other attributes. This allows customers to find products that meet their specific needs more easily.