What are the connected components of $GL(n,\mathbb{R})$? I think there are two, corresponding to those of positive and negative determinant. But I don’t know how to prove that each one of them is connected.
Could you help? Thanks!
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For an answer see https://math.stackexchange.com/q/3017861. – Paul Frost Dec 17 '18 at 14:45
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@PaulFrost thanks! – Jiu Dec 17 '18 at 14:45