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This book is intended for graduate students and research mathematicians interested in topological groups, Lie groups, category theory, and homological algebra.
In this paper the authors develop homotopy theoretical methods for studying diagrams. In particular they explain how to construct homotopy colimits and limits in an arbitrary model category. The key concept introduced is that of a model approximation. A model approximation of a category $\mathcal{C}$ with a given class of weak equivalences is a model category $\mathcal{M}$ together with a pair of adjoint functors $\mathcal{M} \rightleftarrows \mathcal{C}$ which satisfy certain properties. The key result says that if $\mathcal{C}$ admits a model approximation then so does the functor category $Fun(I, \mathcal{C})$.
Spell-binding evocation of Bedouin life in the 1930s when oil is discovered by Americans in an unnamed Persian Gulf kingdom.
A determined group of colonists are attempting to establish a bridgehead on the planet Pandora, despite the savagery of the native lifeforms, as deadly as they are inhospitable. But they have more to deal with than just murderous aliens: their ship's computer has been given artificial consciousness and has decided that it is a God. Now it is insisting - with all the not inconsiderable force of its impressive array of armaments to back it up - that the colonists find appropriate ways to worship It. A stunning work from the acclaimed author of Dune, the series which inspired the 2021 Denis Villeneuve epic film adaptation, Dune, starring Oscar Isaac, Timothée Chalamet, Zendaya and Josh Brolin.
Grab your magical sword and take the place of your favorite fantasy character with this fun and historically accurate how-to guide to solving epic quests. What should you ask a magic mirror? How do you outwit a genie? Where should you dig for buried treasure? Fantasy media’s favorite clichés get new life from How to Slay a Dragon: A Fantasy Hero’s Guide to the Real Middle Ages, a historically accurate romp through the medieval world. Each entry presents a trope from video games, books, movies, or TV—such as saving the princess or training a wizard—as a problem for you to solve, as if you were the hero of your own fantasy quest. Through facts sourced from a rich foundation of medieval sources, you will learn how your magical problems were solved by people in the actual Middle Ages. Divided into thematic subsections based on typical stages in a fantastical epic, and inclusive of race, gender, and continent, How to Slay a Dragon is perfect if you’re curious to learn more about the time period that inspired some of your favorite magical worlds or longing to know what it would be like to be the hero of your own mythical adventure.
"Formerly known as the International Citation Manual"--p. xv.
After finishing his religious education and returning to his hometown of Muh�jir�n Haj Sayyah realises that his family has plans for him to marry his cousin. Partly wanderlust, and partly to escape this, he sets off for what would be an eighteen year trip through Europe, America and the Orient. Haj Sayyah's diaries are unique. He travels through practically every country in Europe, where he gives detailed reports. Later, in separate trips he also visits America and the Far East. He was astonished to see how much the European countries had progressed and concluded that education, to which European nations paid so much attention, was the basis for their advancement. In spite of his religio...
This book studies the geometric properties of general sets and measures in euclidean space.