The book "Topological semi-fields" by the authors of Antonovsky M. I. , Boltyansky V. G. and Sarymsakov T. A. is a fascinating and in-depth study in mathematics that will be of interest not only to specialists, but also to those who seek to expand their horizons in this complex but exciting science. This work immerses the reader in the world of topology and fields, revealing to him new horizons and opportunities that open up as a result of the interaction of these two disciplines. On the pages of the book, the authors offer the reader a unique view of the topological semifields - a concept that combines elements of algebra and topology. This makes the book particularly relevant for undergraduate and graduate students in math departments, as well as for researchers working in related fields such as physics, computer science, and engineering. If you are interested in mathematics, love to solve problems and strive to understand how abstract concepts can be applied in the real world, then “Topological semi-fields” will be a real discovery for you. The book addresses many important topics, such as the structure of topological spaces, the properties of fields, and their interaction with topological properties. The authors do not just state the theory, but also offer many examples that help the reader better absorb the material. Each chapter contains carefully crafted illustrations and graphs, making the study of complex concepts more accessible and illustrative. This is especially important for those who are just beginning their journey in mathematics and may face difficulties in understanding abstract concepts. The style of the authors is distinguished by clarity and logical presentation, which makes it easy to follow the course of thought. They skillfully balance between theoretical aspects and practical examples, which makes the book interesting for both theorists and practitioners. Antonovsky, Boltyansky and Sarymsakov are known for their previous works, which have also received recognition in the scientific community. Their contribution to mathematics is difficult to overestimate, and the "Topological semi-fields" is another confirmation of their status. This book will be especially useful for senior students, graduate students and teachers, as well as for anyone interested in modern areas in mathematics. It will be an excellent addition to the library of everyone who seeks to deepen their knowledge in the field of topology and algebra. Readers passionate about works such as James R.'s Topology Merriam or "Algebraic Topology" by Edward Hopf, will find in the "Topological Semifields" a lot of interesting and useful The topics raised in the book are relevant not only for mathematics, but also for other scientific disciplines. For example, understanding topological properties may prove useful in physics, where different states of matter are investigated, and in computer science, where topology plays an important role in graph theory and network structures. The book "Topological semi-fields" opens new horizons for interdisciplinary research, which makes it especially valuable in the modern scientific context. In conclusion, "Topological semi-fields" is not just a textbook, but a real find for anyone who wants to deepen their knowledge in the field of mathematics. This book will be a reliable companion on your way to understanding complex concepts and will open up new horizons in the world of science. Do not miss the opportunity to immerse yourself in the fascinating world of topology and fields together with Antonovsky, Boltyansky and Sarymsakov!