Schaums Outline of General Topology

Am studying Topology as part of my mathematics degree and this book has made that a little easier. With lots of examples and explanations with each step explained it is easy to follow and understand. Have been using is more or less every day since buying it! Would (and have) recommended this to fellow course mates and others wanting to study Topology.

Un buen libro para comenzar con la Topología. Teoría bien explicada, de manera breve pero muy clara, y luego ampliada en muchísimos ejercicios resueltos.

a l l e s t o p!!! D AN K E!!! alles zu meiner Zufriedenheit. produkt entsprach der Beschreibung.

this is a classic course topology, the book is very well written and has lots of well thought exercises for the reader

Helpful for practice problem

I think the Schaum's Outline Series does a real service to students of science and mathematics, but the quality varies a bit from book to book. I find it fascinating that this one--not updated since 1965 despite a new cover and more accurate tally of the number of solved problems, and dealing with an abstract subject that would seem to have a very limited readership--is so well done. It covers most of the first half of Munkres' famous book, or nearly all of Sutherland's newer Introduction to Metric and Topological Spaces, with many more examples and solved problems than either. It is extremely user friendly, and each chapter reads well though, given the abstraction of the topic, I found it best to read each chapter two or three times before working the problems. The first three review chapters were a bit dull, but then it takes off with a nice review of real analysis in chapter 4, "Topology of the Line and Plane." I liked the Hilbert Space coverage in Chapter 8,"Metric and Normed Spaces," but wish there was a bit more on that subject. I am using this for home study some 25 years after dropping topology in college (ironically Munkres was my advisor and teacher!) because I didn't quite yet have the mathematical maturity to take the course. Had I only discovered this book back then, and worked through Chapters 5 - 10 the summer before, I think the course would have been no problem. A great little book, and cheap. As an update: To test my theory that this book might make a topology course pretty easy, I finally took some hours off from work, registered as a graduate student at my local u, and took a semester of General Topology there. Really good experience, beautiful subject, fun. The old Schaum's had prepared me well, and during the course I referred to several of its proofs for nowhere dense spaces, Baire's category theorem, subbases, and connectedness.