Jump to content

User:Trieu/3Sets

From Wikipedia, the free encyclopedia

A, B, C are 3 subsets of R defined as:

A = {sup(B) + sup(C)}

B = {sup(A) + sup(C)}

C = {sup(A) + sup(B)}

(Here, sup(S) denotes supremum of a non-empty set S)

Are those sets well-defined?