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Assume that a and b are two continuous injective maps with a(0)=(-1,0), a(1)=(1,0), b(0)=(0,-1) and b(1)=(0,1)....

Assume that a and b are two continuous injective maps with a(0)=(-1,0), a(1)=(1,0), b(0)=(0,-1) and b(1)=(0,1). Show that the curves a and b must intersect

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