# The Dold–Thom theorem via factorization homology

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## Abstract

We give a new proof of the classical Dold–Thom theorem using factorization homology. Our method is direct and conceptual, avoiding the Eilenberg–Steenrod axioms entirely in favor of a more general geometric argument.

## Keywords

Dold–Thom theorem Factorization homology Algebraic topology## Notes

### Acknowledgements

It is an honor to first and foremost thank my advisor, John Francis, for suggesting this approach, as well as for his patience, guidance, and support. I am also filled with gratitude towards Ben Knudsen and Dylan Wilson, both for very many helpful conversations on this work and for commentary on an earlier draft. I would like thank Paul VanKoughnett and Jeremy Mann for reading an earlier draft and offering useful feedback, and Elden Elmanto for helpful conversations, and for his enthusiasm and encouragement throughout. I am grateful to Nick Kuhn for pointing me to the references [13, 17] and for enlightening comments on an earlier draft. This paper was written while partially supported by an NSF Graduate Research Fellowship, and I am very grateful for their support. Finally, I would like to thank the referee for their very thoughtful suggestions.

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