# Topology MOBI ✓ Hardcover

This introduction to topology provides separate, in depth coverage of both general topology and algebraic topology Includes many examples and figures GENERAL TOPOLOGY Set Theory and Logic Topological Spaces and Continuous Functions Connectedness and Compactness Countability and Separation Axioms The Tychonoff Theorem Metrization Theorems and paracompactness Complete Metric Spaces and Function Spaces Baire Spaces and Dimension Theory ALGEBRAIC TOPOLOGY The Fundamental Group Separation Theorems The Seifert van Kampen Theorem Classification of Surfaces Classification of Covering Spaces Applications to Group Theory For anyone needing a basic, thorough, introduction to general and algebraic topology and its applications

Overrated and outdated Truth be told, this isof an advanced analysis book than a Topology book, since that subject began with Poincare s Analysis Situs which introduced in a sense and dealt with the two functors homology and homotopy The only point of such a basic, point set topology textbook is to get you to the

After making my way through Dover s excellent Algebraic Topology and Combinatorial Topology sadly out of print , I was recommended this on account of its clean, accessible 1 layout, and its wise choice of not completely dedicating itself to the Jordan curve theorem 2 I found it to be an even better approach to the subj

This is the topology book for self study Extremely clear, full of examples Assumes no background and gets very far on the general topology front, does Uryssohn and Nagata Smirnov metrization, Brouwer fixed point, dimension theory, manifold embeddings There s a huge section on algebraic topology which I ve only skimmed, but l

Excellent book on point set topology The introduction chapter is also exceptional I did as many exercises as I could out of this textbook as an undergraduate one summer, and I believe that doing so took my mathematical maturity to the next level.

It is clear and really good introduction to the subject I take one month to finish it after my advanced Calculus class but still learn a lot from the book It is an example of text book for self study.

it s not so bad, i judt hate topology a lot This boom pretends to be a nice introduction book, but it is almost impossible to understand without a teacher or some online topology lectures

Great book Very clear proofs and examples Everyone who studies math should eventually go through this book.

Truly an incredible book for an incredible topic

good

rough book to get through and it doesn t motivate the concepts of a topological space right away from metric spaces, but this is a minor oversight and doesn t really detract from the book s strengths i haven t read this book in a while so i can t really give a detailed account about it s strengths and weaknesses, but there s a reason why it s a standard text in most