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Point-Set Topology

A Working Textbook

Language EnglishEnglish
Book Paperback
Book Point-Set Topology Rafael López
Libristo code: 45303829
Publishers Springer, Berlin, November 2023
This textbook offers a hands-on introduction to general topology, a fundamental tool in mathematics... Full description
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This textbook offers a hands-on introduction to general topology, a fundamental tool in mathematics and its applications. It provides solid foundations for further study in mathematics in general, and topology in particular.Aimed at undergraduate students in mathematics with no previous exposure to topology, the book presents key concepts in a mathematically rigorous yet accessible manner, illustrated by numerous examples. The essential feature of the book is the large sets of worked exercises at the end of each chapter. All of the basic topics are covered, namely, metric spaces, continuous maps, homeomorphisms, connectedness, and compactness. The book also explains the main constructions of new topological spaces such as product spaces and quotient spaces. The final chapter makes a foray into algebraic topology with the introduction of the fundamental group.Thanks to nearly 300 solved exercises and abundant examples, Point-Set Topology is especially suitable for supplementing a first lecture course on topology for undergraduates, and it can also be utilized for independent study. The only prerequisites for reading the book are familiarity with mathematical proofs, some elements of set theory, and a good grasp of calculus.

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About the book

Full name Point-Set Topology
Author Rafael López
Language English
Binding Book - Paperback
Date of issue 2024
Number of pages 370
EAN 9783031585128
Libristo code 45303829
Publishers Springer, Berlin
Weight 767
Dimensions 155 x 235
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