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Cobordism is a fundamental equivalence relation on the class of compact manifolds of the same dimension, set up using the concept of the boundary of a manifold.
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An orthogonal factorization system on 1-Cob?
This question was answered in the affirmative by Joseph Abadi, here.
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An orthogonal factorization system on 1-Cob?
If $W:A\to B$ is a cobordism, i.e. $\partial W\cong A+B$, we write $i^W_{dom}:A\to W$ and $i^W_{cod}:B\to W$ to denote the boundary-component inclusions. …