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In category theory, a faithful functor is a functor that is injective on hom-sets, and a full functor is surjective on hom-sets. A functor that has both properties is called a fully faithful functor.
The analysis highlights Examples, Formal definitions and Generalization to (∞, 1)-categories as prominent areas in the source structure around Full and faithful functors.
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Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.
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functor faithful full objects injective fully surjective morphisms category groups properties two underlying group notion categories hom-sets every fx need
TTTA extracted structured relationships around Full and faithful functors. The table shows each extracted connection, where it came from and its confidence.
| Subject | Predicate | Object | Confidence | Src |
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The concept neighborhoods around Full and faithful functors bring nearby vocabulary together. In this analysis, examples include Functor, Full and Surjective. Use the clusters to find adjacent concepts and terminology that may deserve separate research.
For Full and faithful functors, one of the stronger structural bridges in this analysis connects Full and faithful functors with Examples. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.
TTTA analyzes the structure around Full and faithful functors to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Examples, Formal definitions & Generalization to (∞, 1)-categories, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.
Source: Wikipedia — Full and faithful functors · EN edition · Analysis: TopicsToTalkAbout
