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We consider a totally non cohomologous to zero fibration 
, where B is an elliptic 2-stage Postnikov tower and 
a Koszul Sullivan model of p. In this paper, we show that the induced map in Hochschild cohomology HH*(f): HH*(∧V; ∧V ) → HH*(∧V ; C) is injective.
Mathematics Subject Classification (2020):
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