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# If compact connected Lie groups are homeomorphic as topological space, are theyisomorphicasLiegroups?

Let $G_{1}$ and $G_{2}$ be compact connected Lie groups.

If $G_{1}$ and $G_{2}$ are homeomorphic as topological space spaces, are they isomorphic as Lie groups?

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# If compact connected Lie groups are homeomorphic as topological space , are

Let $G_{1}$ and $G_{2}$ be compact connected Lie groups.

If $G_{1}$ and $G_{2}$ are homeomorphic as topological space , are they isomorphic as Lie groups?