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Algebraic presentation of the bordism category of 2-dimensional CW-complexes
We prove that $S^1$ carries the structure of a unimodular cocommutative Hopf algebra in the bordism category 2CW of 2-equivalence classes of 2-dimensional CW-complexes and that 2CW is actually equivalent to the symmetric monoidal category freely generated by such a Hopf algebra. The proof proceeds b
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