Introduction to the topology. Tutorial. 3rd edition, fixed and supplemented. Borisovich Yu.G., Bliznyakov N.M., Izrailevich Ya.A.

The attention of readers is proposed to the textbook “Introduction to Topology”, recognized as one of the best in Russia, modern topology textbooks.

The manual contains the first concepts of topology, general topology, the theory of homo-topias, and the classification of two-dimensional surfaces, the foundations of the theory of smooth diversity and stratification, elements1 of the theory of fruit drinks are considered, the theory of symlucial, singular and cellular homology with applications to the theory of motionless points.

the distinctive feature of the book is a combination of visual and severity of the presentation. It contains a large number of drawings and examples that facilitate an independent study of complex material. For more active assimilation of the material in each paragraph, the reader is offered numerous exercises for independent solution.

Acquaintance with the book gives an idea of ​​the modern tasks of topology as a field of mathematics, as well as the ability to use topological methods in related industries.

by the content and style of presentation, the manual can be put on a par with the best Russian and world textbooks of the topology.

The book uses illustrations of academician of the Russian Academy of Sciences A. T. Fomenko.

The manual is intended for university students studying in the specialty "Mathematics", as well as, as additional literature, for students of other specialties. It can be used by university teachers in the development of mandatory topology courses, as well as various optional courses, including topological sections.