1.15. An arithmetic progression in Z is a set Aa,b= {..., a-2b, a - b, a, a +b, a + 2b,...} 0. Prove that the collection of arithmetic progressions A={Aa.bla, b = Z and b# 0} is a basis for a topology on Z. The resulting topology is called the arithmetic progression topology on Z. 1.16. Prown Th with a, b e Z and b

Q: In this question and subsequently, let d₁, d2, ..., d5 denote the first five digits of your exam…

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A: According to our guidelines we can answer three sub-parts and rest can be reposted.

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A: Topic-series