Point-Set Topology: A Working Textbook
Point-Set Topology: A Working Textbook
English | 2024 | ISBN: 3031585127 | 406 Pages | PDF EPUB (True) | 44 MB
English | 2024 | ISBN: 3031585127 | 406 Pages | PDF EPUB (True) | 44 MB
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.