On topological isomorphisms of 𝐶₀(𝑋) and the cardinal number of 𝑋

On topological isomorphisms of $C_{0}(X)$ and the cardinal number of $X$
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Proc. Amer. Math. Soc. 72 (1978), 105-108 Request permission

In this paper it is proved that if ${C_0}(X)$ and ${C_0}(Y)$ are topologically isomorphic then $|X| = |Y|$.

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