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PDF-9.11HomologyandCohomologywithCoecients9.11.1TensorProductLetRbeacommu

PDF-9.11HomologyandCohomologywithCoecients9.11.1TensorProductLetRbeacommu

Author : ellena-manuel | Published Date : 2016-11-02

whereCpBpUpwithpUpBp1ThereforeCnGn1Gn1GBp1nGUp1nGBpnGUpnGBp1nGUp1nGsoHpC08pProposition9112Let0CDEbeashortexactsequenceofchaincomplexesstEisafreech

whereCp=BpUpwith@p:Up=Bp1.ThereforeC\nG@\n1G@\n1G-(Bp+1\nG?Up+1\nG)-(Bp\nG?Up\nG)-(Bp1\nG?Up1\nG)-soHp(C)=08p.Proposition9.11.2Let0!C-D!E!)beashortexactsequenceofchaincomplexess.t.Eisafreech

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