Abstract:We give a new proof of the classical Dold-Thom theorem by using factorization homology. Our method is new, quick, and more direct, avoiding the Eilenberg-Steenrod axioms entirely and, in particular, making no use of the theory of quasi-fibrations.
“…of this space as the reduced homology of M * . (See [5] for a proof of the Dold-Thom theorem in terms of factorization homology.) Through the same theory, we know (R n ) + A B n A K (A, n) is an Eilenberg-MacLane space.…”
We formulate a theory of pointed manifolds, accommodating both embeddings and Pontryagin-Thom collapse maps, so as to present a common generalization of Poincaré duality in topology and Koszul duality in En-algebra.
“…of this space as the reduced homology of M * . (See [5] for a proof of the Dold-Thom theorem in terms of factorization homology.) Through the same theory, we know (R n ) + A B n A K (A, n) is an Eilenberg-MacLane space.…”
We formulate a theory of pointed manifolds, accommodating both embeddings and Pontryagin-Thom collapse maps, so as to present a common generalization of Poincaré duality in topology and Koszul duality in En-algebra.
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