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In category theory in mathematics, a 2-category is a category with "morphisms between morphisms", called 2-morphisms. A basic example is the category Cat of all (small) categories, where a 2-morphism is a natural transformation between functors.
The analysis highlights Definitions, Examples and Duskin nerve as prominent areas in the source structure around 2-category.
Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.
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.
High-confidence facts extracted from structured source data. Use them as anchors for further research.
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The extracted context around 2-category shows recurring relationship patterns in the source. For example, 2-category → Also, Cat, Hom, Similarly Another extracted example is 2-category → category enriched over Cat, category of small categories, category with. Use these groups to spot repeated connection types before inspecting the individual relationships.
Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.
category displaystyle categories natural enriched weak composition strict morphisms 2-morphism small objects org also cat nlab ncatlab theory 2-morphisms transformation
TTTA extracted 19 structured relationships around 2-category. Examples in this analysis include 2-category → is a → category with and 2-category → is a → category of small categories. The table shows each extracted connection, where it came from and its confidence.
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| 2-category | is a | category with | 0.90 | text |
| 2-category | is a | category of small categories | 0.90 | text |
| 2-category | is a | category enriched over Cat | 0.90 | text |
| higher category theory | instance of | it is more common to use some generalization of category theory | 0.80 | text |
| 2-category | related to A strict 2-category | Hom | 0.60 | section |
| 2-category | related to A weak 2-category | Kan | 0.60 | section |
| 2-category | related to Category of small categories | Hom | 0.60 | section |
| 2-category | related to Category of small categories | Similarly | 0.60 | section |
| 2-category | related to Category of small categories | Also | 0.60 | section |
| 2-category | related to Category of small categories | Cat | 0.60 | section |
| 2-category | related to Coherence theorem | Every | 0.60 | section |
| 2-category | related to Duskin nerve | The Duskin | 0.60 | section |
The concept neighborhoods around 2-category bring nearby vocabulary together. In this analysis, examples include Category, Strict and Weak. Use the clusters to find adjacent concepts and terminology that may deserve separate research.
For 2-category, one of the stronger structural bridges in this analysis connects 2-category with Definitions. 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 2-category to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Definitions, Examples & Duskin nerve, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.
Source: Wikipedia — 2-category · EN edition · Analysis: TopicsToTalkAbout
