[Cr]  Essential Topology, by Martin D. Crossley.

[Ha] Notes on Introductory Point-Set Topology, by Allen Hatcher.

[Wi] Review of Set Theory, by Michael Williams.

Indicated below are the sections covered in the corresponding textbooks or online notes. Note that the sections of [Cr] are numbered. This webpage will be updated frequently.

*Remarks:

• In [Cr] 3.2, examples 3.30 through 3.34 are optional.
  
• In [Cr] 3.3, you are required to read only Proposition 3.35. The rest of this section is optional, and it requires some familiarity with linear algebra. 
  
• In [Cr] 4.1, skip the proof of Theorem 4.1 and anything associated with this proof. A different approach will be taken in our class.
• [Cr] 4.2 should be considered optional reading; of course, you should be able to understand the assigned homework problems. We will follow the more conventional approach to compactness in [Ha].
• In [Cr] 5.1, be sure to read all of the examples except Example 5.6.
• [Cr] 5.4 should be considered as optional since none of this material (on quotient spaces) will appear on the Final Exam. The parts of this section that will be relevant to the June 3 lecture are Example 5.48, Basic definitions on page 78, Examples 5.50 up to 5.53, definition of quotient space, Examples 5.54 up to 5.57, Propositions 5.61 and 5.65, Example 5.68, and Proposition 5.69.