MTH634 Assignment 2 Solutin and Discussion

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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

Let be a Co-Finite Topology on a set X. Show that 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.

[zareen]

please share idea?