1. Prove that, if F is Borel field in 2, then (i) ø E F (ii) whenever A,,A2, ... E F, then also N1 A E F. (iii) whenever A1, A2, .. , An E F, then also U, A € F and (iv) whenever A, B E F, then also A – BE F.

Advanced Engineering Mathematics
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ISBN:9780470458365
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1. Prove that, if F is Borel field in N, then
(i) o E F
(ii) whenever A1,A2, ... E F, then also N1 4; € F.
(iii) whenever A1, A2, ... , An E F, then also U, A¡ € F and
(iv) whenever A, B E F, then also A – BE F.
Transcribed Image Text:1. Prove that, if F is Borel field in N, then (i) o E F (ii) whenever A1,A2, ... E F, then also N1 4; € F. (iii) whenever A1, A2, ... , An E F, then also U, A¡ € F and (iv) whenever A, B E F, then also A – BE F.
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