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## Main Question or Discussion Point

I came across this problem in Willard, General Topology 18H.2,

where it says

"For compact n-manifold X, prove that X is a product of spheres"

I have no idea how to rigorously do it...

I searched internet for this, but has no hope... any helps?

where it says

"For compact n-manifold X, prove that X is a product of spheres"

I have no idea how to rigorously do it...

I searched internet for this, but has no hope... any helps?