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Concise problem-oriented introduction to analysis and topology, designed for undergraduate students, focusing on foundational concepts and exercises.
A foundational graduate-level textbook in general topology covering core concepts such as topological spaces, continuity, compactness, and connectedness. Widely used in mathematics curricula.
This book provides a comprehensive treatment of dimension theory, a fundamental area in topology. It discusses various notions of dimension, including covering and inductive dimensions, and explores their applications in modern mathematical analysis and topology. The text is intended for advanced students and researchers in mathematics.
This volume is part of a comprehensive series on modern geometry, focusing on the geometry and topology of manifolds. The authors develop fundamental concepts of Differential Geometry and Topology, including smooth manifolds, vector fields, and global geometric structures. The book combines rigorous theory with applications, making it an important resource for advanced students and researchers …