Counterexamples in Topology;Dover Books on Mathematics

I purchased this (on my own, not as a recommended or required text) for an introductory undergraduate topology class I took around a year ago. It was rather difficult to navigate at first, but as the semester progressed I found it increasingly useful as a side reference. It is perhaps even more useful now, as I like to go back to it, maybe go a little further and check my understanding periodically. Overall, I am satisfied with the purchase, and would recommend as a side text to anyone who wants to learn the material really well, and/or maintain it for a little bit while focusing more on other areas.

I haven't been able to read the entire thing, but this book is great for anyone interested in specific topological examples of concepts like the T_n spaces and so forth. Some of my personal favorites include the Cantor set and the Broom space.

I am confident that most people will agree when I say that topology is a study that teaches us how counter-intuitive many results in Mathematics can be. This is an excellent book to search for counterexamples when testing a conjecture that you can't quite prove. Clearly written, and easy to follow.

Super textbook: well organized, clearly written, and, by its very nature, full of lesser mentioned topological spaces.

It's very good.

I really like the compactness of this book; that is, this book is the finite subcover for any arbitrary cover on the subject of Topology. Seriously, It gives almost all the major definitions which you would ever need, and it provides all kinds of nontrivial examples. Depending on your preference, the notation can sometimes be a little awkward, but it is neither incorrect nor ambiguous; that is, it is still correct and clear, depending on your understanding. Any mathematician ought to have this book in his collection for reference.

Thank you.

Nice book.

This book is a classic. I bought this book because I was trying to understand the range of topologies that exist, which this book achieves. It also systematically classifies topologies by their topological properties, and summarised the information in tables at the back of the book. This book is a not a text book, but I learnt a lot by browsing it.

Excelente, muy útil. Llegó en buen estado.

Requirements of the book whose name is "Sequence and series "written by Prakash Om published from the Laxmi publication pvt Ltd

This book is an excellent reference for those who want to study in depth the basic concepts in General Topology. Since the focus is on distinguishing between definitions which intuitively correspond to similar principles (after all, the title is COUNTEREXAMPLES), this is a great guide to learn those definitions with much detail and get a good grasp on how they work, and the intricate connections between them. Also, several Venn diagrams and reference charts (including a general reference chart) help find quickly any kind of counterexample and illustrate which implications are true or false. Some examples are also illustrated for better comprehension, usually when describing weird neighborhoods. I purchased this paperback edition (I don't know if there is a hardcover one), and it arrived on time and in mint condition. The book is well printed and well edited, easy to use and read.

The Bible for anyone curious about topology