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Countable chain condition

In order theory, a partially ordered set X is said to satisfy the countable chain condition, or to be ccc, if every strong antichain in X is countable.

Art, Examples and properties in topology & Overview

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Examples and properties in topology

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Countable chain condition

Nodes25
Edges24
Triples18
Avg. degree1.92
Density0.08
Components1

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Countable chain condition

Top relations

related to Examples and properties in topology · 11
Countable chain condition → An, Cantor, Every, For, Furthermore, In, Lindelöf, Paracompact, Suslin's Condition, Suslin's Problem, The
related to overview · 6
Countable chain condition → Boolean, For, The, There, These, This
is a · 1
Countable chain condition → ℵ1-chain condition

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Important terminology

ccc countable chain condition space every topological separable set antichain spaces theory said satisfy cardinal forcing conditions equivalent open example

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Countable chain conditionis aℵ1-chain condition0.90text
Countable chain conditionrelated to Examples and properties in topologySuslin's Condition0.60section
Countable chain conditionrelated to Examples and properties in topologyThe0.60section
Countable chain conditionrelated to Examples and properties in topologySuslin's Problem0.60section
Countable chain conditionrelated to Examples and properties in topologyEvery0.60section
Countable chain conditionrelated to Examples and properties in topologyFurthermore0.60section
Countable chain conditionrelated to Examples and properties in topologyIn0.60section
Countable chain conditionrelated to Examples and properties in topologyFor0.60section
Countable chain conditionrelated to Examples and properties in topologyCantor0.60section
Countable chain conditionrelated to Examples and properties in topologyParacompact0.60section
Countable chain conditionrelated to Examples and properties in topologyLindelöf0.60section
Countable chain conditionrelated to Examples and properties in topologyAn0.60section

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