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Introduction to Topology
This text is intended for a one-semester undergraduate course in topology. The fundamental concepts of general topology are covered rigorously but at a gentle pace and an elementary level. It is accessible to students with only an elementary calculus background. In particular, abstract algebra is not a prerequisite. The first chapter develops the elementary concepts of sets and functions, and in Chapter 2 the general topological space is introduced. Subspaces, continuity, and homeomorphisms are covered in Chapter 3. The remaining chapters cover product spaces, connected spaces, separation properties, and metric spaces.
- GenresMathematics
155 pages, Hardcover
First published January 1, 1991
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July 29, 2022
TL;DR - Accessible to a topology newbie, but needs to be supplemented w/ other books!
Easy to follow and good examples, but just not enough of them! The book is dense in concepts and about a pinky finger's amount of thickness, which makes it light and easy to carry, but also requires you to supplement your studies with other topology books, which in my case were Schaum's Outlines - General Topology by Seymour Lipschutz, and Topology Illustrated by Peter Saveliev. With that said, the explanations and deconstructions of the proofs were pretty well done, just incomplete in certain proof directions, requiring the reader to fill them in as exercises. Also important note for those that understand this, but this book mainly approaches things from the Point-Set Topology perspective, so if you are looking for metric, algebraic, or differential approaches, look elsewhere!
Easy to follow and good examples, but just not enough of them! The book is dense in concepts and about a pinky finger's amount of thickness, which makes it light and easy to carry, but also requires you to supplement your studies with other topology books, which in my case were Schaum's Outlines - General Topology by Seymour Lipschutz, and Topology Illustrated by Peter Saveliev. With that said, the explanations and deconstructions of the proofs were pretty well done, just incomplete in certain proof directions, requiring the reader to fill them in as exercises. Also important note for those that understand this, but this book mainly approaches things from the Point-Set Topology perspective, so if you are looking for metric, algebraic, or differential approaches, look elsewhere!
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