The book "Absolute Retracts and Infinite Diversity", written by outstanding mathematicians and specialists in the field of topology, B. In. Fedorchuk and A. H. Chigogidze, is a fascinating and in-depth study that will not leave indifferent both professionals and lovers of mathematics. This work will be a real find for those who are interested in modern trends in topology, geometry and mathematical analysis. The authors focus on such complex but exciting concepts as absolute retractions and infinite dimensional manifolds. These topics may seem difficult for an untrained reader, but Fedorchuk and Chigogidze masterfully lead the reader through labyrinths of mathematical concepts, focusing on intuitive understanding and visualization. The book begins with fundamental concepts, gradually deepening into more complex aspects, which allows the reader not only to assimilate the material, but also to develop his own critical thinking. This work will be especially interesting for students and graduate students of mathematical faculties, as well as teachers who are looking for new approaches to explaining complex topics. In addition, the book will attract the attention of researchers working in the field of topology and related disciplines, providing fresh ideas and results that can be used in further research. It also has a place for those who are just passionate about mathematics and want to expand their horizons, immersing themselves in the world of abstract concepts and theories. One of the key topics of the book is the study of the properties of absolute retractions, which play an important role in topology and geometry. The authors examine their characteristics in detail, give examples and discuss their application in various fields of mathematics. Infinite manifolds, in turn, open up new horizons for the reader, allowing him to look at familiar things from a new angle. These topics are not only relevant, but also cause great interest among mathematicians, which makes the book especially valuable. The style of the authors is distinguished by clarity and logical presentation, which allows even complex concepts to be perceived easily and naturally. Fedorchuk and Chigogidze use many illustrations and examples, which helps the reader to better understand and remember the material. Their approach to teaching and explaining complex topics makes this book unique in its kind. If you are looking for books that will help you deepen your knowledge in the field of topology, pay attention to such works as “Topology” by James R. Murphy or "