Recent content by pieterb

Homework Statement Take a container of volume V, which has two separated partitions, each with volume V/2. Each partition contains a gas of N molecules, with respectively mass \m_{a} and \(m_{b}\). The temperature in the partitions is equal to that of its surroundings, and energy exchange...

I see the problem, currently trying formulate it in a neat way. Any tips?

Wow, I was thinking in completely the wrong direction. Thanks so much for your assistance!

According to my textbook, the following gives B, the collection of subsets that forms the basis. \cap_{a i}^{n} pr^{-1}_{a i}(U_{a i}) = \left\{(x_{\alpha})_{\alpha \in A} \in Y | x_{a i} \in U_{a i} for all i = 1, ... , n\right\} Given a1,..,an \in A and U_{a i} open in X_{a i} I...

Have been sitting on this while doing the dishes, however no new insights. Am I in the right direction by thinking that the fact that U is defined by infinite intersections no longer guarantees it to be open?

Homework Statement Let Y := \prod_{i \in I} X_i Now assume U_i \subset X_i to be open. If we take i to be infinite, \prod_{i \in I} X_i cannot be open. Why? Homework Equations The Attempt at a Solution I can't quite get my head around how to approach this problem. A...