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Unformatted text preview: C2: Give an explicit bijection f : C → H between intervals C := ( , 4 ] and H := ( , 4 ) . C3: α The powerset P (Ω) of set Ω , is ... . β Give a complete proof that there is no surjection h : Ω ± P (Ω). In particular, given a map h : Ω ± P (Ω), explicitly construct a set S h ⊂ Ω which is guaranteed to not be in the range of h . γ When Ω := { M,L,C } , the three Stooges, consider this map g ( M ) := { M,L,C } ; g ( L ) := { M,C } ; g ( C ) := {} . Your S g = { ............... } . End of ClassC C1: 150pts C2: 65pts C3: 80pts Total: 295pts Print name ............................................... Ord: Honor Code: “I have neither requested nor received help on this exam other than from my professor (or his colleague) .” Signature: .............................................
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This note was uploaded on 01/26/2012 for the course MHF 3202 taught by Professor Larson during the Fall '09 term at University of Florida.
 Fall '09
 LARSON

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