10-327/Register of Good Deeds

• 10-327/Kai Yang 997712756

Register for the solution to the first and second assignment. e.g. Here is what I will do: Once we get our HW1 from the TA, I will correct all the mistakes(if any) , scan the HW and put it here.

• 10-327/Kai Yang 997712756

For lecture 3. Complete proof for the equality of three topologies generated by basis B. And solution to the four exercises.

• 10-327/Kai Yang 997712756

For lecture 4. Some more illustration on Uniqueness of the product topology satisfying condition 1&2. Complete proof of the subspace topology is the unique topology satisfying condition 1&2. Proof for a couple of claims: The product topology on R_std and R_std is the standard topology on R^2 and subspace topology on Z as a subspace of Y which is a subspace of Z is the same as the subspace topology on Z as a subspace of X, where Y is a subspace of X.

• 10-327/Kai Yang 997712756

Register for the solution to the 3rd and 4th assignment. Some extra problem (not to be handed in) for HW2.