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Initial and terminal objects

In category theory, a branch of mathematics, an initial object of a category C is an object I in C such that for every object X in C, there exists precisely one morphism I → X.

Examples, Properties & Overview

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Explore the main themes, entities and connections around Initial and terminal objects. Start with the topic map, then use the sections below for research and deeper semantic analysis.

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Overview

Examples

Properties

Advanced semantic analysis

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Map overview Semantic statistics

Initial and terminal objects

Nodes69
Edges68
Triples74
Avg. degree1.97
Density0.028986
Components1

How this topic connects Entity context

See the strongest relationship patterns around the current topic before diving into the raw triples.

Initial and terminal objects

Top relations

related to References · 41
Initial and terminal objects → Abstract, Adámek, Archived, Cambridge, Cambridge University Press, Categorical, Categories, Concrete Categories, Encyclopedia, George, Graduate Texts, Herrlich, Horst, ISBN, Its Applications, Jiří, John Wiley, Lock-gray-alt-2, Lock-green, Lock-red-alt-2
related to Examples · 23
Initial and terminal objects → Ab, Any, Cat, ChR, Every, However, In, In Field, In Grp, In Rig, In Ring, K-Vect, Likewise, R-Mod, Rel, Rng, See Zero, Set, Similarly, Spec
related to Existence and uniqueness · 10
Initial and terminal objects → For, However, I-indexed, I1, I2, Initial, Ki, Moreover, Specifically, The

Important terminology Word statistics

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Important terminology

object initial category terminal objects zero morphism empty functor every one unique also set ring universal diagram element called single

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Initial and terminal objectsrelated to ExamplesThe0.60section
Initial and terminal objectsrelated to ExamplesSet0.60section
Initial and terminal objectsrelated to ExamplesEvery0.60section
Initial and terminal objectsrelated to ExamplesSimilarly0.60section
Initial and terminal objectsrelated to ExamplesTop0.60section
Initial and terminal objectsrelated to ExamplesIn0.60section
Initial and terminal objectsrelated to ExamplesRel0.60section
Initial and terminal objectsrelated to ExamplesIn Grp0.60section
Initial and terminal objectsrelated to ExamplesAb0.60section
Initial and terminal objectsrelated to ExamplesRng0.60section
Initial and terminal objectsrelated to ExamplesR-Mod0.60section
Initial and terminal objectsrelated to ExamplesK-Vect0.60section

Related concept clusters Concept neighborhoods

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    Connections between topic areas Semantic bridges

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    Min side: 3
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