Recent content by patricia-donn

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    Proving Open/Closed Sets: Functional Analysis in C [0,1]

    Thank you for your advice, I'll try that and see how I get on Thanks again
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    Prove Open & Closed Sets in C[0,1] | Functional Analysis

    Thank you so so much for your prompt reply. You've really helped me out and I really appreciate your time. Thanks again
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    Functional Analysis: Proving Closure of Finite Sets in Metric Spaces

    Hello I need help with an analysis proof and I was hoping someone might help me with it. The question is: Let (X,d) be a metric space and say A is a subset of X. If x is an accumulation point of A, prove that every r-neighbourhood of x actually contains an infinite number of distinct...
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    Prove Open & Closed Sets in C[0,1] | Functional Analysis

    Hello Would anyone out there be able to help me with a problem I'm having? I have to prove that a function is open and that another is closed. The question is: Consider C [0,1] with the sup metric. Let f:[0,1]→R be the function given by f(x)=x²+2 Let A={g Є C[0,1]: d(g,f) > 3}. Prove...
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    Proving Open/Closed Sets: Functional Analysis in C [0,1]

    Hello Would anyone out there be able to help me with a problem I'm having? I have to prove that a function is open and that another is closed. The question is: Consider C [0,1] with the sup metric. Let f:[0,1]→R be the function given by f(x)=x²+2 Let A={g Є C[0,1]: d(g,f) > 3}. Prove...
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