# Factorization homology of topological manifolds

@article{Ayala2012FactorizationHO, title={Factorization homology of topological manifolds}, author={David Ayala and John Francis}, journal={Journal of Topology}, year={2012}, volume={8} }

Factorization homology theories of topological manifolds, after Beilinson, Drinfeld, and Lurie, are homology‐type theories for topological n ‐manifolds whose coefficient systems are n ‐disk algebras or n ‐disk stacks. In this work, we prove a precise formulation of this idea, giving an axiomatic characterization of factorization homology with coefficients in n ‐disk algebras in terms of a generalization of the Eilenberg–Steenrod axioms for singular homology. Each such theory gives rise to a…

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