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Homotopy theory, homological algebra, algebraic treatments of manifolds.

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What homology theory is calculated by unreduced cubical chains?

For a topological space $X$ and a subspace $A$, let $Q_n(X,A)$ be the group of singular cubical $n$-chains of $X$ relative to $A$ and let $D_n(X,A)$ be the subgroup of degenerate cubical chains. The …