give an example of sets X and Y such that X cross Y not equal Y cross X

give sets such that Xcross(YcrossZ) not equal (XcrossY)crossZ

probably too late :(

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- October 1st 2008, 11:28 AMjbpellerinset theory
give an example of sets X and Y such that X cross Y not equal Y cross X

give sets such that Xcross(YcrossZ) not equal (XcrossY)crossZ

probably too late :( - October 1st 2008, 11:40 AMJhevon
take your pic! any once X and Y are different sets (both non-zero) the cross-product would not commute. make X and Y different sizes to make sure.

Quote:

give sets such that Xcross(YcrossZ) not equal (XcrossY)crossZ

probably too late :(