I have a simple question, if we have two collection of sets, instead of sets, A and B, how is the intersection of A and B defined, is it defined as

{a intersection b:a a set in A and b a set in B}

thx

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- Sep 13th 2011, 12:57 PMsungunion of collections
I have a simple question, if we have two collection of sets, instead of sets, A and B, how is the intersection of A and B defined, is it defined as

{a intersection b:a a set in A and b a set in B}

thx - Sep 13th 2011, 01:11 PMPlatoRe: union of collections
- Sep 13th 2011, 01:24 PMsungRe: union of collections
={ , ,...}

So can we define this as

={ ;for and } - Sep 13th 2011, 01:29 PMPlatoRe: union of collections
- Sep 13th 2011, 01:41 PMsungRe: union of collections
yes is that the correct definition for the intersection of two collections?

So how is the intersection of two collections defined? - Sep 13th 2011, 02:04 PMPlatoRe: union of collections
- Sep 13th 2011, 02:47 PMemakarovRe: union of collections
The definition of the intersection of two sets is the same regardless of the nature of the elements of those two sets: whether they are numbers, other sets, etc.

- Sep 13th 2011, 05:37 PMPlatoRe: union of collections