Statements (98)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:topology
|
| gptkbp:builtBy |
cells
|
| gptkbp:example |
gptkb:musical_composition
gptkb:Klein_bottle gptkb:butter gptkb:geometry gptkb:CW_complex gptkb:homogeneous_space gptkb:Lie_group gptkb:Grassmannian gptkb:Stiefel_manifold gptkb:real_projective_plane gptkb:Hawaiian_earring gptkb:Moebius_strip gptkb:dunce_hat gptkb:figure-eight_space gptkb:lens_space gptkb:Eilenberg–MacLane_space suspension mapping cone mapping cylinder configuration space loop space complex projective space classifying space cellular space bouquet of spheres finite CW-complex infinite CW-complex n-dimensional disk n-dimensional sphere wedge sum of circles |
| gptkbp:generalizes |
gptkb:CW_complex
|
| gptkbp:hasApplication |
gptkb:topology
gptkb:cohomology_theory homotopy theory cellular homology |
| gptkbp:hasConstructionStep |
attaching n-cells
inductive construction |
| gptkbp:hasProperty |
gptkb:Tychonoff
gptkb:Hausdorff gptkb:Cell gptkb:cellular_inclusion regular compact infinite-dimensional cellular homology connected finite-dimensional locally compact metrizable paracompact separable simply connected weak topology non-compact normal cellular chain complex cellular cohomology cellular decomposition cellular map homotopy extension property locally contractible countable finite type contractible closure-finite path-connected Whitehead theorem applies cellular approximation cellular approximation property cellular attachment cellular boundary map cellular collapse cellular covering space cellular expansion cellular fibration cellular filtration cellular map homotopy cellular quotient cellular refinement cellular subcomplex cellular subdivision finite skeleton locally Hausdorff locally finite locally finite type locally path-connected second countable |
| gptkbp:hasType |
n-cell
|
| gptkbp:introduced |
gptkb:J._H._C._Whitehead
|
| gptkbp:standsFor |
gptkb:Closure-finite_Weak_topology_complex
|
| gptkbp:usedFor |
gptkb:cohomology_theory
homotopy theory |
| gptkbp:usedIn |
gptkb:topology
|
| gptkbp:bfsParent |
gptkb:Whitehead_torsion
|
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
CW-complex
|