Invariance proof of simplicial homology and cohomology groups without using subdivisions or axiomatic approach

Hu, Sze-Tsen

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Realization of long exact sequences of abelian groups.

Irwin S. Pressman (1990)

Publicacions Matemàtiques

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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...