Question: Please solve #5. Subject: Real Analysis ; Topic: Normal Spaces. All the information is provided. No missing reference or any information, the picture is clear.

Please solve #5. Subject: Real Analysis ; Topic: Normal Spaces. All the information is provided. No missing reference or any information, the picture is clear. If you can't solve the following problem, just be honest. Thank you ?

Please solve #5. Subject: Real Analysis ; Topic:
5. Is R" normal in the product topology? In the uniform topology? It is not known whether R" is normal in the box topology. Mary-Ellen Rudin has shown that the answer is affirmative if one assumes the continuum hypothe- sis [RM]. In fact, she shows it satisfies a stronger condition called paracompact- ness

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