Boltyanskij, V. G.; Efremovich, V. A. Stillwell, John (ed.) Intuitive combinatorial topology. Transl. from the Russian by Abe Shenitzer. With the editorial assistance of John Stillwell. (English) Zbl 0971.57002 Universitext. New York, NY: Springer. xii, 141 p. (2001). The book is organized as follows. Chapter 1 – Topology of curves; Chapter 2 – Topology of surfaces; Chapter 3 – Homotopy and homology, and a supplementary chapter dealing with an interesting application of topology to the theory of nematic liquid crystals. The text is written in an enthusiastic and lively style. The proofs are given in detail, without prerequisites. In each part of the book, the reader will find numerous carefully illustrative examples. The book is well suited for advanced undergraduates or beginning graduates interested in finding out what topology is all about. The book offers 213 problems, gives 68 examples and is illustrated by over 210 figures.For the review of the Russian original see Zbl 0606.57001. Reviewer: Jozef Fiamčik (Prešov) Cited in 1 Document MSC: 57-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to manifolds and cell complexes 55-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic topology 57N05 Topology of the Euclidean \(2\)-space, \(2\)-manifolds (MSC2010) 57R25 Vector fields, frame fields in differential topology 57M25 Knots and links in the \(3\)-sphere (MSC2010) 57M30 Wild embeddings 57M05 Fundamental group, presentations, free differential calculus 55N10 Singular homology and cohomology theory 55Q05 Homotopy groups, general; sets of homotopy classes 05C15 Coloring of graphs and hypergraphs Keywords:Euler characteristic; Jordan curve theorem; vector fields; four colour problem; colouring maps on surfaces; knots; fundamental group; fibre bundles; Morse theory; surfaces Citations:Zbl 0637.57001; Zbl 0617.57001; Zbl 0608.57001; Zbl 0606.57001 PDFBibTeX XMLCite \textit{V. G. Boltyanskij} et al., Intuitive combinatorial topology. Transl. from the Russian by Abe Shenitzer. With the editorial assistance of John Stillwell. New York, NY: Springer (2001; Zbl 0971.57002)