Statements (98)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:topology
|
| gptkbp:builtBy |
cells
|
| gptkbp:example |
gptkb:Klein_bottle
gptkb:butter gptkb:geometry gptkb:Lie_group 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 musical composition suspension Grassmannian CW complex mapping cone mapping cylinder configuration space homogeneous 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 |
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 regular compact infinite-dimensional Cell 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 cellular inclusion 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
|
| https://www.w3.org/2000/01/rdf-schema#label |
CW-complex
|
| 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
|