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Let g010R and g101R betwocontinuousfuntionssuchthat g00g10 Thenthereexistsacontinuousfunction h11R suchthat hxg0xforallx210 and hxg1xforallx201 GlueingLemma

Let g0:[1;0]!R and g1:[0;1]!R betwocontinuousfuntionssuchthat g0(0)=g1(0) .Thenthereexistsacontinuousfunction h:[1;1]!R suchthat h(x)=g0(x)forallx2[1;0] and h(x)=g1(x)forallx2[0;1] . GlueingLemma.

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