# filtered category > nonempty category such that for any two objects ๐‘ฅ, ๐‘ฆ there exists a diagram ๐‘ฅโ†’๐‘งโ†๐‘ฆ and for every two parallel arrows ๐‘“,๐‘”: ๐‘ฅโ†’๐‘ฆ there exists an โ„Ž: ๐‘ฆโ†’๐‘ง such that โ„Žโˆ˜๐‘“=โ„Žโˆ˜๐‘” **Wikidata**: [Q5449247](https://www.wikidata.org/wiki/Q5449247) **Wikipedia**: [English](https://en.wikipedia.org/wiki/Filtered_category) **Source**: https://4ort.xyz/entity/filtered-category