cellular homology
Cellular homology computes singular homology using generators indexed by cells. Track how attaching-map degrees determine boundary maps, making a finite CW decomposition into an explicit chain computation.
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Where to read
Start here: Algebraic Topology
Allen Hatcher · Book · English · Free full text
§2.2, Cellular Homology, Theorem 2.35 and the following Cellular Boundary Formula
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Algebraic Topology & Homotopy Theory in the library · Preparation and skip guidance · Terminology and translation evidence