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Category (mathematics)

In mathematics, a category (sometimes called an abstract category to distinguish it from a concrete category) is a collection of "objects" that are linked by "arrows". A category has two basic properties: the ability to compose the arrows associatively and the existence of an identity arrow for each object. A simple example is the category of sets, whose…

Examples, Types of categories & Overview

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Explore the main themes, entities and connections around Category (mathematics). Start with the topic map, then use the sections below for research and deeper semantic analysis.

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Overview

Definition

Small and large categories

Examples

Construction of new categories

Types of morphisms

Types of categories

Advanced semantic analysis

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Map overview Semantic statistics

Category (mathematics)

Nodes113
Edges112
Triples0
Avg. degree1.98
Density0.017699
Components1

How this topic connects Entity context

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Important terminology Word statistics

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Important terminology

category displaystyle morphisms categories objects morphism called set arrows sets mathematics small class object theory identity two composition functions mathcal

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc

Related concept clusters Concept neighborhoods

These clusters group vocabulary that occurs around closely connected concepts in the source material.

    Connections between topic areas Semantic bridges

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    Min side: 3
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