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On a Surjection

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uvosky
 
Reply Fri 7 Sep, 2012 04:45 am
For any set B let P(B) denote the set of all subsets of B .
Let A be any infinite set and suppose there exists a surjection
f : A ---> P(A)/A , consider the set D := { a : a ϵ A but a ∉ f(a) } , then is the
set A/D non-empty ?
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Type: Question • Score: 0 • Views: 994 • Replies: 1
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uvosky
 
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Reply Thu 13 Sep, 2012 11:44 pm
Is it ever possible that the set A / D is empty ??
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