> The stuff in that document is all very fundamental and basic, and doesn't seem that abstract at all to me.
I wondered the same thing. The first half of the linked paper is usually contained (if abridged) in the intro chapter of more or less any algebra/topology/analysis textbook. I don't remember Rudin's first book being an exception. Most of that material can be found in the first chapter of Rudin's "Principles" (3rd edition).
I'd say the basic topology in R^n is much more abstract (the 2nd chapter of Rudin "Principles" [3rd ed]) and it's not treated in the linked doc.
I wondered the same thing. The first half of the linked paper is usually contained (if abridged) in the intro chapter of more or less any algebra/topology/analysis textbook. I don't remember Rudin's first book being an exception. Most of that material can be found in the first chapter of Rudin's "Principles" (3rd edition).
I'd say the basic topology in R^n is much more abstract (the 2nd chapter of Rudin "Principles" [3rd ed]) and it's not treated in the linked doc.