Recent content by turiya

If A, B \in \mathcal {G} then A \cap B \in \mathcal{G} as \mathcal{G} is closed under finite intersections and therefore A \cup B \in \mathcal {M} using the DeMorgan's laws and property II of \mathcal {M} as you have pointed out. I could not prove that if A, B, C, D, E\in \mathcal...

Micromass: I am not sure if it works. Can you explain in more detail?

Let {X} be a set. Let {\mathcal{G}} be a non-empty collection of subsets of {X} such that {\mathcal{G}} is closed under finite intersections. Assume that there exists a sequence {X_h \in \mathcal{G}} such that {X = \cup_h X_h} . Let {\mathcal{M}} be the smallest collection of...

Thanks a lot micromass. Your steps indeed prove that "h" is the unique linear map I am looking for.

Hi all, I was reading the book by Herbert Federer on Geometric Measure Theory and it seems he proves the existence of the Tensor Product quite differently from the rest. However it is not clear to me how to prove the existence of the linear map "g" in his construction. He defines F as the...