<p>I empathize with you. I looked back at my old files and here is the exact sheet that I used to study to get into Honors Analysis. Memorize and know these definitions well. Also know the theorems behind the definitions, which are present in the first few chapters of Rudin (up to the first chapter on integration).</p>
<p><a href=“http://home.uchicago.edu/~jemberton/Honors%20Analysis%20Prep%20Definitions.pdf[/url]”>http://home.uchicago.edu/~jemberton/Honors%20Analysis%20Prep%20Definitions.pdf</a></p>