Homology with neighborhood coefficients

Is there any kind of relationship in between the homology of a room with neighborhood coefficients (in $\mathbb Q$ vector room) and also the homology with coefficients in $\mathbb Q$? Many thanks!

2019-05-18 22:44:17
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Answers: 1

If you calculate homology with twisted coefficients, where the coefficient system entails vector rooms of measurement $d$, after that the Euler feature of the resulting homology rooms (i.e. the rotating amount of the $H_i$ with twisted coefficients) amounts to $d$ times the Euler feature of the room calculated using homology with unimportant coefficients.

2019-12-03 04:20:18