Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:category |
gptkb:Homotopy_category
|
| gptkbp:definedIn |
Space of all continuous maps from the circle S^1 to a topological space X
|
| gptkbp:field |
gptkb:Algebraic_topology
|
| gptkbp:generalizes |
Iterated loop space
|
| gptkbp:hasProperty |
gptkb:topology
Based at a point |
| https://www.w3.org/2000/01/rdf-schema#label |
Loop space
|
| gptkbp:notation |
ΩX
|
| gptkbp:relatedTo |
gptkb:Eilenberg–MacLane_space
Homotopy theory Suspension Classifying space Path space |
| gptkbp:studiedBy |
gptkb:Jean-Pierre_Serre
gptkb:John_Milnor gptkb:Raoul_Bott |
| gptkbp:type |
Homotopy groups
|
| gptkbp:usedIn |
gptkb:Spectra
Homological algebra Stable homotopy theory |
| gptkbp:bfsParent |
gptkb:Homotopy_group
|
| gptkbp:bfsLayer |
8
|