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hzsh2009

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[½»Á÷] ¡¾ÇóÖú¡¿sigma-algebra

The collection of subsets of X which are countable or whose complements are countable

prove this is sigma-algebra.
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math105(½ð±Ò+1): лл²ÎÓëÓÐÒæµÄÌÖÂÛ 2011-04-13 13:31:16
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hzsh2009

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Originally posted by Pchief at 2011-04-13 11:40:16:
R ²»Ò»¶¨°üº¬ X £¬µ«Ò»¶¨°üº¬ ¿Õ¼¯ £¬ÒòΪÈÎÈ¡ E ¡ÊR £¨Ò»°ãÔ¼¶¨ R ²»ÊÇ¿Õ×壩ÓÐ ¿Õ¼¯ = E\E ¡ÊR £¬ÕâÒ»À´£¬ X ×÷Ϊ ¿Õ¼¯ µÄÓ༯¾Í°üº¬ÔÚ×îÏÂÃæÄǸö¼¯×åÖС£

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math105(½ð±Ò+2): лл²ÎÓëÓÐÒæµÄÌÖÂÛ 2011-04-13 13:31:33
hzsh2009(½ð±Ò+3): 2011-04-14 01:35:18


ÒÔÉÏÖ¤Ã÷ÖÐÈç¹û N_2 Êǿռ¯£¬Ôò¹æ¶¨ F = X £¨´Ëʱ F ¡Ê R ²»³ÉÁ¢£¬µ«²»ÄÑ¿´³ö ¡ÈE_i = E ¡Ê A£©

[ Last edited by Pchief on 2011-4-13 at 12:57 ]
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