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Question: please be clear about the answer 3 of 5 that...

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Consider Z with the digital line topology and the partition of Z created using modulo 10 arithmetic. The partition gives the mapping: { ,-30,-20,-10, 0, 10, 20, ) → 0 ..., -28,-18, -8, 2, 12, 22, .2 , -27, -17,-7, 3, 13, 23,3 .., -21, -11, -1, 9, 19, 29, 9 Select each and every set that is an open set in the quotient topology on tO, 1, 2,,9 (there are 3 out of 5). A. {1,5,9} C. 17) OD. (s,6) E. (2,4,6)

Please be clear about the answer 3 of 5 that are correct. I think it is B,C,D but I am not sure. Please write clearly. If you aren't familiar with topology please don't try to answer this question this is the second time I am posting this trying to understand this concept. Thank you!

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