Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:topology
|
| gptkbp:category |
gptkb:mathematics
gptkb:topology |
| gptkbp:definedIn |
product of unit intervals [0,1] indexed by a set I
|
| gptkbp:dimensions |
cardinality of I
|
| gptkbp:hasSpecialCase |
Hilbert cube (when I is countable)
|
| https://www.w3.org/2000/01/rdf-schema#label |
Tychonoff cube
|
| gptkbp:namedAfter |
gptkb:Andrey_Tychonoff
|
| gptkbp:notation |
[0,1]^I
|
| gptkbp:property |
gptkb:Tychonoff_space
gptkb:Hausdorff compact completely regular |
| gptkbp:relatedTo |
gptkb:Stone–Čech_compactification
gptkb:Tychonoff_theorem |
| gptkbp:topology |
product topology
|
| gptkbp:usedIn |
gptkb:general_topology
gptkb:set-theoretic_topology functional analysis |
| gptkbp:bfsParent |
gptkb:Soviet_school_of_topology
|
| gptkbp:bfsLayer |
8
|