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I have a problem with Set theory. I am given to prove the following;

Is the intersection of two equivalence relations itself an equivalance relation? If so , how would you characterize the equivalnce sets of the intersection?

Regards,

Nisha.

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- Thread starter nishap
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- #1

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I have a problem with Set theory. I am given to prove the following;

Is the intersection of two equivalence relations itself an equivalance relation? If so , how would you characterize the equivalnce sets of the intersection?

Regards,

Nisha.

- #2

Tom Mattson

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We have a policy here which is posted at the top of this Forum. In order to receive help, you have to show us how you started and where you got stuck.

- #3

George Jones

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Of what set is an equivalence relation a subset?

What conditions must this subset satisfy?

Since equivalence relations are (sub)sets, the intersection of 2 equivalence relations is a set. Does this set satisfy the conditions required of an equivalence relation?

Regards,

George

- #4

NateTG

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Just in case you have no clue where to start - going back to the definitions is very helpful.

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