Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:category |
compactness theorem
|
| gptkbp:equivalentTo |
axiom of choice
|
| gptkbp:field |
gptkb:topology
|
| gptkbp:firstPublished |
1930
|
| gptkbp:generalizes |
gptkb:Heine–Borel_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Tychonoff theorem
|
| gptkbp:implies |
finite product of compact spaces is compact
|
| gptkbp:importantFor |
gptkb:general_topology
|
| gptkbp:namedAfter |
gptkb:Andrey_Tychonoff
|
| gptkbp:provenBy |
gptkb:Andrey_Tychonoff
|
| gptkbp:state |
The product of any collection of compact topological spaces is compact in the product topology.
|
| gptkbp:usedIn |
gptkb:set_theory
gptkb:topology functional analysis |
| gptkbp:bfsParent |
gptkb:Topology
|
| gptkbp:bfsLayer |
5
|