KnowraAlgebraic topologyLinked fromLinked fromThe 18 pages that link to Algebraic topology, each with the reason it gives.All 18Broader topic 2Related 5Narrower topic 9Compared with 2Homological algebraNarrower topic: Homological algebra grew partly from the need to formulate and calculate topological homology systematically.CategoryNarrower topic: Category theory was first developed to organize constructions in algebraic topology.Jean-Pierre SerreNarrower topic: Serre’s early work helped make spectral sequences and homotopy methods central to the field.Henri CartanNarrower topic: Cartan’s cohomological methods became foundational tools in this field.Mikhail GromovNarrower topic: Several of Gromov’s geometric methods drew on and reshaped topological ideas.Poincaré dualityNarrower topic: The theorem is a landmark relation between algebraic invariants of spaces.Seifert–Van Kampen theoremNarrower topic: The theorem exemplifies the use of algebra to extract global information from local pieces.Whitehead theoremNarrower topic: The theorem exemplifies how algebraic invariants can detect topological equivalence.Eilenberg–Zilber theoremNarrower topic: The theorem supplies a chain-level tool for computing topological invariants of products.