Recent content by Kolmogorov

Searching for preimage I found that the second rule is true: http://mathprelims.wordpress.com/category/topology/page/2/ I think that this must be true, because for every x in V there is only one y. But the other one is not true, because there can be more than one x's in V that have the same y...

Yes, that is right. I didn't know the English translation of these terms, although now I see that the Dutch word is a literal translation of the word image. Pre-image is called the complete image in Dutch.

I am sorry if I didn't formulate the question properly, I had to translate this from Dutch, I don't know if range and domain are the proper terms. The question is about any function in general from V to W without any further specifications. I would think that these statements are both untrue...

Given is the function of Set V towards Set W where A is a subset of V and B is a subset of W. Questions: Does the range of the complement of A equal the complement of the range of A? Does the domain of the complement of B equal the complement of the domain of B?I am not entirely sure how to...

The hint and the size relationship confused me. I don't see how to solve this problem as an equation of x and given the fact that C is twice as large as B and three times as A, but I guess it is possible. If someone sees it, I am curious how to proceed. There is no follow up question to this...

Sorry, typo. Set C is twice as large as B and three times as large as A.

Problem: -The Union of set A, set B and set C has 104 elements. -The Union of Set A and B has 51 elements -The Union of Set A and C has 84 elements -The Union of Set B and C has 97 elements -The Intersection of Set A and the Union of Set B and C has 17 elements. -Set C has twice as many...