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PDF-66CHAPTERIVXiscalledboundedifforeachneighborhoodWof0thereexistsapositi

PDF-66CHAPTERIVXiscalledboundedifforeachneighborhoodWof0thereexistsapositi

Author : alida-meadow | Published Date : 2016-07-01

supt0tx2Utweseethatx1c0showingthatisanormWemustshow nallythatthegiventopologyagreeswiththeonede nedbythenormSincebyTheorem36iscontinuousitfollowsimmediatelythatB11isopenin

supt0;tx2Ut;weseethat(x)1=c0;showingthatisanorm.Wemustshow nallythatthegiventopologyagreeswiththeonede nedbythenorm:Since byTheorem3.6 iscontinuous itfol-lowsimmediatelythatB=1(1;)isopenin

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