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In most mathematics departments at major universities one of the three or four basic first-year graduate courses is in the subject of algebraic topology. This introductory textbook in algebraic topology is suitable for use in a course or for self-study, featuring broad coverage of the subject and a readable exposition, with many examples and exercises. The four main chapters present the basic material of the subject: fundamental group and covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory generally. The author emphasizes the geometric aspects of the subject, which helps students gain intuition. A unique feature of the book is the inclusion of many optional topics which are not usually part of a first course due to time constraints, and for which elementary expositions are sometimes hard to find. Among these are: Bockstein and transfer homomorphisms, direct and inverse limits, H-spaces and Hopf algebras, the Brown representability theorem, the James reduced product, the Dold-Thom theorem, and a full exposition of Steenrod squares and powers. Researchers will also welcome this aspect of the book.

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“Hailed as the queen of Irish crime fiction, French spins a taut tale of retribution, sacrifice, and family.”—TIMEIt’s a blazing summer when two men arrive in a small village in the West of Ireland. One of them is coming home. Both of them are coming to get rich. One of them is coming to die.Cal Hooper took early retirement from Chicago PD and moved to rural Ireland looking for peace. He’s found it, more or less: he’s built a relationship with a local woman, Lena, and he’s gradually turning Trey Reddy from a half-feral teenager into a good kid going good places. But then Trey’s long-absent father reappears, bringing along an English millionaire and a scheme to find gold in the townland, and suddenly everything the three of them have been building is under threat. Cal and Lena are both ready to do whatever it takes to protect Trey, but Trey doesn’t want protecting. What she wants is revenge.From the writer who is “in a class by herself,” (The New York Times), a nuanced, atmospheric tale that explores what we’ll do for our loved ones, what we’ll do for revenge, and what we sacrifice when the two collide.

Language: English, Binding: Paperback, Number of pages: 342, Publishers: LIGHTNING SOURCE INC, Author: Ace Academic Publishing, ISBN-13: 9781949383379, Date of issue: 2021

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With clear prose and lighthearted artwork, this companion book to the bestseller "What If Everybody Did That?" explores the power of words and shows kids that the things they say matter. Full color.