Hi, If we change coefficients in Homology, we can use the universal coefficient theorem(adsbygoogle = window.adsbygoogle || []).push({});

to find the change in the homology group. Still, is there a way of knowing what happens

to _individual classes_ under this change of coefficients? I am just thinking of cases

where there is a major collapse under the coefficient change, like when we go from

Z--integers to Z/2 in, say, S^1 , the unit circle, so that H_1 goes from Z to Z/2;

I guess all classes are collapsed into 2 classes.

Is there a way of knowing what happens to individual classes under this change

?

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# Change of Coefficients in Homology and Individual Classes

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