10-327/Register of Good Deeds: Difference between revisions

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*10-327/Kai Yang 997712756
*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.
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.

Revision as of 17:58, 27 September 2010

  • 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.