Introductory topology. Exercises and solutions (Q2833693)

This is the second, extended edition of this textbook (for the first edition see \textit{M. H. Mortad} [Introductory topology. Exercises and solutions. Hackensack, NJ: World Scientific (2014; Zbl 1301.54001)]) on basic general topology intended for undergraduate students. The book is divided into two main parts: Part 1: Exercises, Part 2: Solutions, and each part is divided into chapters: 1. General Notions: Sets, Functions et al., 2. Metric Spaces, 3. Topological Spaces, 4. Continuity and Convergence, 5. Compact Spaces, 6. Connected Spaces, 7. Complete Metric Spaces, 8. Function Spaces. Chapters 2 to 8 in Part 1 are organized in the essentially same way: in the beginning there is some necessary theoretical material (entitled Essential Background), followed by (a) True or False Questions, (b) Exercises with Solutions, (c) Tests, (d) More Exercises. The paragraphs (a) contain questions and statements among which the reader should detect those which are true or those which are false. In Exercises with Solutions there are problems on different levels of difficulty, and the Tests consist of short questions. The final paragraphs (More Exercises) supply unsolved problems and are an invitation for further reading. In Part 2, all questions from Part 1 are answered, and all exercises are solved in detail.NEWLINENEWLINEThis book is very good and useful for beginners in general topology to help them to understand better the basic topological notions and methods and their applications to other areas of mathematics.NEWLINENEWLINEThe book ends by a bibliography of 31 items; the reviewer, however, thinks that some important classical books on general topology (such as the books by Kelly, Willard, Dugundji, and Engelking) are missing in this list of references; the readers/students should at least be informed about the existence of these books.