Product of topological spaces
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
gptkb:topology |
| gptkbp:category |
gptkb:category_theory
|
| gptkbp:contrastsWith |
box topology
|
| gptkbp:definedIn |
the Cartesian product of a family of topological spaces equipped with the product topology
|
| gptkbp:example |
product of two real lines is the Euclidean plane
|
| gptkbp:field |
gptkb:topology
|
| gptkbp:generalizes |
Cartesian product of sets
|
| gptkbp:hasTopology |
product topology
|
| https://www.w3.org/2000/01/rdf-schema#label |
Product of topological spaces
|
| gptkbp:introduced |
gptkb:Felix_Hausdorff
|
| gptkbp:property |
Tychonoff theorem applies
projection maps are continuous universal property of products |
| gptkbp:relatedTo |
gptkb:topology
product topology |
| gptkbp:usedIn |
gptkb:Tychonoff_theorem
gptkb:topology functional analysis compactness arguments infinite product spaces |
| gptkbp:bfsParent |
gptkb:Product_(category_theory)
|
| gptkbp:bfsLayer |
7
|