I’d be astonished if there were a proof of Banach-Tarski that uses (1) most of the key notions in basic topology and (2) not much else. And I’ve certainly never seen a proof of BT in the middle of an introductory (or any other) topology book.
I’d be astonished if there were a proof of Banach-Tarski that uses (1) most of the key notions in basic topology and (2) not much else. And I’ve certainly never seen a proof of BT in the middle of an introductory (or any other) topology book.