Question #15695

prove that two norm linear spaces may be topological isomorphic but not necessary congruent give example.

Expert's answer

Is we consider square [0,1]^2 in plane R^2 and unit closed disk in R^2 as

subspaces with induced topologies, then they are homeomorphic, but obviously not

congruent.

subspaces with induced topologies, then they are homeomorphic, but obviously not

congruent.

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