10:04 AM
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Does the function $f(x)=x^2$ admit a continuous extension $\widetilde{f}:\beta\mathbb{R}\longrightarrow\mathbb{R}$ to the Stone-Cech compactification? Proof. If $f$ admitted a continuous extension to the Stone-Cech compactification, then the triangle/maps would commute. The triangle being: $f =...
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Can someone explain, given a set of disjoint open intervals, does the 1 point compactification look more like: Or Also how do we know that the compactification would necessarily be in a higher dimension?
10:16 AM
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