Categories with convergence, Exponential Functors, and the Cohomology of Compact Abelian Groups.

Karl Heinrich Hofmann

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Displaying similar documents to “Categories with convergence, Exponential Functors, and the Cohomology of Compact Abelian Groups.”

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Realization of long exact sequences of abelian groups.

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Given a long exact sequence of abelian groups L: ... → L^i-1 →^{ξ^i-1} Lⁱ →^ξⁱ Lⁱ⁺¹ → ... a short exact sequence of complexes of free abelian groups is constructed whose cohomology long exact sequence is precisely L. In this sense, L is realized. Two techniques which are introduced...