Statements (32)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:topology
CW complex |
| gptkbp:example |
gptkb:Torus
Wedge sum of circles n-dimensional sphere Finite simplicial complex Real projective space |
| gptkbp:hasApplication |
Computation of cohomology
Computation of homology Homotopy groups |
| gptkbp:hasCellDecomposition |
Finite number of cells
|
| gptkbp:hasProperty |
gptkb:Hausdorff
Second-countable Finite dimension Locally contractible Paracompact Homotopy type of a finite CW complex is called a finite homotopy type Every finite simplicial complex is a finite CW complex Compact if all cells are compact Not every finite CW complex is a simplicial complex Finite number of attaching maps Finite number of closed cells Finite number of open cells Finite number of skeleta Finite skeletons Every compact smooth manifold admits the structure of a finite CW complex |
| gptkbp:hasSubgroup |
CW complex
|
| https://www.w3.org/2000/01/rdf-schema#label |
Finite CW complex
|
| gptkbp:usedIn |
gptkb:Algebraic_topology
Homotopy theory |
| gptkbp:bfsParent |
gptkb:CW_Complexes
|
| gptkbp:bfsLayer |
8
|