# [[ KINDLE ]] ❄ Topology Author James R. Munkres – Writerscompany.co.uk

Delightfully clear exposition and rigorous proofs The exercises vary from simple applications of theorems to challenging proofs Good, clean treatment of point set topology and algebraic topology the latter is somewhat light, often confined particularly to results on 2 dimensional spaces. 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 universities here in the uni 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. 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 This book contains a great introduction to topologypoint set than algebraic I must admit, I have not read all of the first part of the book, but Munkres certainly makes it easier for a beginner to accept and understand the seemingly over abstract definitions involved in point set topology. Finished the 1st half of the book i.e the stuff before Chapter 40 Munkres is pretty lucidly written for the most part, contains somewhat interesting exercises Not too keen about how countability axioms were introduced e.g how do you demonstrate something possesses a countable basis You need to demonstrate that this countable basis generates a topology that is finer than the topology that the set currently possesses This is not made clear Also, his decision to refer to it as a basis i Finished the 1st half of the book i.e the stuff before Chapter 40 Munkres is pretty lucidly written for the most part, contains somewhat interesting exercises Not too keen about how countability axioms were introduced e.g how do you demonstrate something possesses a countable basis You need to demonstrate that this countable basis generates a topology that is finer than the topology that the set currently possesses This is not m I think this might be the best math text book ever written.I learned Topology from this book This book is THE text to learn topology from This book is a rare combination in that it teaches the material very well and it 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, 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 point where you can work through an Algebraic Topology text at the level of Hatcher To that end, Munkres book is a waste of time There is not much point in getting los 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 poin 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.