# Factorization homology of stratified spaces

@article{Ayala2014FactorizationHO,
title={Factorization homology of stratified spaces},
author={David Ayala and John Francis and Hiro Tanaka},
journal={Selecta Mathematica},
year={2014},
volume={23},
pages={293-362}
}
• Published 2 September 2014
• Mathematics
• Selecta Mathematica
This work forms a foundational study of factorization homology, or topological chiral homology, at the generality of stratified spaces with tangential structures. Examples of such factorization homology theories include intersection homology, compactly supported stratified mapping spaces, and Hochschild homology with coefficients. Our main theorem characterizes factorization homology theories by a generalization of the Eilenberg–Steenrod axioms; it can also be viewed as an analogue of the Baez…
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