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Homology is a general way of associating a sequence of algebraic objects such as abelian groups or modules to other mathematical objects such as topological spaces.
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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. … Finally, in a more general context, does anyone have a reference for where to find information about things one can deduce from properties common to all homology theories evaluated on a given space? …