Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:topology
|
| gptkbp:appliesTo |
space of continuous functions
|
| gptkbp:basisConsistsOf |
sets of functions mapping compact subsets into open subsets
|
| gptkbp:category |
gptkb:mathematics
|
| gptkbp:definedIn |
set of continuous maps from X to Y
|
| gptkbp:hasWikipediaPage |
https://en.wikipedia.org/wiki/Compact-open_topology
|
| https://www.w3.org/2000/01/rdf-schema#label |
compact-open topology
|
| gptkbp:introduced |
gptkb:Ralph_Fox
|
| gptkbp:introducedIn |
1945
|
| gptkbp:property |
makes composition of functions continuous
makes evaluation map continuous |
| gptkbp:relatedTo |
pointwise convergence topology
uniform convergence topology |
| gptkbp:usedFor |
homotopy theory
function spaces mapping spaces |
| gptkbp:usedIn |
gptkb:topology
functional analysis |
| gptkbp:bfsParent |
gptkb:general_topology
gptkb:General_Topology |
| gptkbp:bfsLayer |
7
|