Inspired by the work of Heller and Sasin , we construct in this paper Weil homomorphism in a locally free sheaf W of ϕ-fields  over a structured space. We introduce the notion of G-consistent, linear connection on this sheaf, what allows us to clearly define Chern, Pontrjagin and Euler characteristic classes. We also show proper equalities between those classes.
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© 2017 Ewa Falkiewicz and Wiesław Sasin
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