Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:topology
|
| gptkbp:appearsIn |
algebraic topology textbooks
|
| gptkbp:basisFor |
X (topological space)
|
| gptkbp:category |
pointed space
|
| gptkbp:defines |
The cone of a topological space X is the quotient space (X × [0,1])/(X × {0})
|
| gptkbp:example |
cone over a circle is a disk
cone over a sphere is a ball |
| gptkbp:field |
gptkb:topology
|
| gptkbp:generalizes |
cone (graph theory)
|
| gptkbp:hasApex |
cone point
|
| gptkbp:hasWikipediaPage |
https://en.wikipedia.org/wiki/Cone_(topology)
|
| gptkbp:homotopyType |
contractible space
|
| https://www.w3.org/2000/01/rdf-schema#label |
cone (topology)
|
| gptkbp:notation |
gptkb:CX
|
| gptkbp:property |
contractible
functorial |
| gptkbp:relatedTo |
mapping cone
join (topology) suspension (topology) |
| gptkbp:usedIn |
gptkb:topology
homotopy theory |
| gptkbp:bfsParent |
gptkb:fan_(topology)
|
| gptkbp:bfsLayer |
8
|