In topology, a CW complex is a type of topological space introduced by J. H. C. Whitehead to meet the needs of homotopy theory. This class of spaces is broader and has some better categorical properties than simplicial complexes, but still retains a combinatorial nature that allows for computation (often with a much smaller complex).
Read more about CW Complex: Formulation, Inductive Definition of CW-complexes, Examples, Homology and Cohomology of CW-complexes, Modification of CW-structures, 'The' Homotopy Category, Properties
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