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On Topology Topology, a branch of mathematics, focuses on the qualitative properties of geometric objects. Its conceptual framework is so powerful that nearly all mathematical fields have been influenced by it. As a result, very few areas of modern mathematics are not related—or, as we should say, connected—to topology. Studying topology is, in essence, studying mathematics.
This book serves as a bridge between introductory lectures on analysis and linear algebra and advanced courses in algebraic and geometric topology. It provides the fundamental topological knowledge that all students of mathematics should acquire during their studies. The book is particularly suitable for students enrolled in bachelor’s or master’s programmes, especially those whose curricula may only accommodate a one-semester topology course. However, it includes enough material for a full-year course and is ideal for self-study. This makes it a valuable resource for students in mathematical or natural sciences who wish to explore topology in greater depth.