CW Complexes

URI: https://gptkb.org/entity/CW_Complexes

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:topology
gptkbp:builtBy	gptkb:0-cells 1-cells 2-cells higher-dimensional cells n-cells
gptkbp:example	gptkb:geometry gptkb:Moore_space gptkb:Eilenberg–MacLane_space gptkb:Torus gptkb:Real_projective_plane gptkb:Bouquet_of_spheres gptkb:Complex_projective_space Suspension n-sphere Mapping cone Wedge sum of circles
gptkbp:generalizes	gptkb:Simplicial_complex
gptkbp:hasApplication	gptkb:Obstruction_theory gptkb:Spectral_sequences Cellular homology Computation of cohomology Computation of homology
gptkbp:hasComponent	Cell
gptkbp:hasModel	gptkb:Homotopy_types Topological manifolds
gptkbp:hasProperty	gptkb:Hausdorff gptkb:Weak_topology Closure-finite Locally contractible Locally finite (if finite CW complex) Paracompact
https://www.w3.org/2000/01/rdf-schema#label	CW Complexes
gptkbp:introduced	gptkb:J._H._C._Whitehead
gptkbp:referencedIn	Allen Hatcher, "Algebraic Topology" Edwin H. Spanier, "Algebraic Topology" Glen E. Bredon, "Topology and Geometry" J. H. C. Whitehead, "Combinatorial Homotopy I, II" James R. Munkres, "Elements of Algebraic Topology"
gptkbp:subclassOf	gptkb:Simplicial_complex gptkb:Cell_complex gptkb:Countable_CW_complex gptkb:Delta_complex gptkb:Finite_CW_complex gptkb:Regular_CW_complex
gptkbp:usedIn	gptkb:Algebraic_topology Homotopy theory Homology theory
gptkbp:bfsParent	gptkb:Singular_Homology_Theory
gptkbp:bfsLayer	7