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A comment on In-browser homology calculator using PyScript/Pyodide/WASM [slow loading].

Re:In-browser homology calculator using PyScript/Pyodide/WAS... by 082349872349872 on Saturday January 21, 2023 @09:51AM (#34466777)
> A cycle on a pair (X,A) is a chain on X whose boundary is a chain on A .

is this roughly saying that a cycle on (X,A) is a chain on X that would be a cycle on the quotient X/A?

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Re:In-browser homology calculator using PyScript/Pyodide/WAS... by jdwg on Saturday January 21, 2023 @12:55PM (#34468404)
Yes, this is true (or nearly) for simplicial complexes. A cycle on (X, A) is the same as a cycle on (X/A, A/A) = (X/A, single point), and this is a useful point of view, since X/A can be much simpler to visualize.
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