cup product

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External reading guide · Graduate

The cup product adds multiplication to cohomology groups. Compare its cochain definition with the surface calculation to see what information survives beyond the ranks of the groups.

Before opening the references

singular cohomology · Singular Homology

Where to read

  1. Start here: Algebraic Topology

    Allen Hatcher · Book · English · Free full text

    §3.2 Cup Product, cochain definition and Example 3.7, printed pp. 206–207

    Source page · Checked 2026-10-16

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Algebraic Topology & Homotopy Theory in the library · Preparation and skip guidance · Terminology and translation evidence

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