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Homotopy theory, homological algebra, algebraic treatments of manifolds.

6 votes
1 answer
774 views

If a topological space has vanishing $n$th homology for every possible homology theory, does...

I don't have any strong preference as to whether or not the homology theories are required to be ordinary. Also, if this does not hold in general, does it hold for some nice category of spaces, like …
Harrison Smith's user avatar