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Exponential object

In mathematics, specifically in category theory, an exponential object or map object is the categorical generalization of a function space in set theory. Categories with all finite products and exponential objects are called cartesian closed categories. Categories (such as subcategories of Top) without adjoined products may still have an exponential law.

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

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Overview

Definition

Examples

Advanced semantic analysis

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Map overview Semantic statistics

Exponential object

Nodes39
Edges38
Triples17
Avg. degree1.95
Density0.051282
Components1

How this topic connects Entity context

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Exponential object

Top relations

related to Examples · 6
Exponential object → For, Heyting, In, Rightarrow, The, This
related to Definition · 4
Exponential object → An, Hom, Let, This
related to Equational definition · 4
Exponential object → Alternatively, Commutativity, Existence, Uniqueness
related to External links · 3
Exponential object → Interactive Web, Jocelyn Paine, Written

Important terminology Word statistics

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Important terminology

displaystyle exponential category eval times object objects colon lambda categories morphism mathrm closed map space called cartesian products spaces function

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Exponential objectrelated to DefinitionLet0.60section
Exponential objectrelated to DefinitionAn0.60section
Exponential objectrelated to DefinitionThis0.60section
Exponential objectrelated to DefinitionHom0.60section
Exponential objectrelated to Equational definitionAlternatively0.60section
Exponential objectrelated to Equational definitionExistence0.60section
Exponential objectrelated to Equational definitionCommutativity0.60section
Exponential objectrelated to Equational definitionUniqueness0.60section
Exponential objectrelated to ExamplesIn0.60section
Exponential objectrelated to ExamplesThe0.60section
Exponential objectrelated to ExamplesFor0.60section
Exponential objectrelated to ExamplesHeyting0.60section

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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