Lynn Arthur Steen

This book contains a dense covering of point-set topology and over a hundred different topologies over different spaces (as per the book count; some of those include more than one topology over the same space, or one topology over several spaces.) You can learn a great deal about topology just from this book without help. While there are no exercises and no proofs, there are plenty of examples to show why one property of a topology is or is not dependent on another. Thinking your way through the introduction and examples is a great way to learn.

On the down side, there's a topology paper included as an appendix that has little to do with the book and seems to be included just as an important paper on topology. It's way above my head, and I suspect it will be for many years. Also, the exercises seem randomly ordered, which is less of a problem because they are heavily linked by number from all over the book.… (altro)