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    Assignment # 2

    Topology (Mth634)

    (Fall 2019)

    Total marks: 10
    Due date: 29/01/2020

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    Question 1: Marks 5

    Let19cd5802-44cd-4860-ae26-cf919da91c38-image.png be a Co-Finite Topology on a set X. Show that 866db318-1906-4c3a-a6e6-dbb6fcbb77e4-image.png is separable.

    Question 2: Marks 5

    Consider X=R(Set of real numbers) with usual topology and consider the following collections of subsets of X .

    1. U={(-n,n) |n ϵ N}
    2. V={[n,n+1] |n ϵ Z}

    Determine whether these collections form open covers for the usual topology on R. Justify your answer.

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