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Countably generated space

In mathematics, a topological space X {\displaystyle X} is called countably generated if the topology of X {\displaystyle X} is determined by the countable sets in a similar way as the topology of a sequential space (or a Fréchet space) is determined by the convergent sequences.

Properties, Definition & Examples

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

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Properties

4 related topics

Definition

2 related topics

Examples

2 related topics

Countable fan tightness

1 related topics

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Overview

Definition

Countable fan tightness

Properties

Examples

Advanced semantic analysis

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Map overview Semantic statistics

Countably generated space

Nodes21
Edges20
Triples4
Avg. degree1.9
Density0.095238
Components1

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Countably generated space

Top relations

related to Properties · 4
Countably generated space → Any, Similarly, Therefore, They

Important terminology Word statistics

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Important terminology

countable countably generated space displaystyle topological tightness every overline topology spaces fan set sequential subspace mathematics subseteq cap point subsets

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Countably generated spacerelated to PropertiesSimilarly0.60section
Countably generated spacerelated to PropertiesTherefore0.60section
Countably generated spacerelated to PropertiesThey0.60section
Countably generated spacerelated to PropertiesAny0.60section

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    Min side: 3
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