cellular approximation theorem references

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Can someone give some references to a proof of cellular approximation theorem that you consider "easy enough" to understand?

Thanks.

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You can find a proof in Hatcher's Algebraic Topology (theorem 4.8, page 349 in the current version).

Whether or not it's "easy enough to understand" is harder to judge, but I don't think you can find something much easier (although I'd be glad to be corrected)