Spectral spaces are a class of topological spaces. They are a tool linking algebraic structures, in a very wide sense, with geometry. They were invented to give a functional representation of Boolean algebras and distributive lattices and subsequently gained great prominence as a consequence of Grothendieck's invention of schemes. There are more than 1,000 research articles about spectral spaces, but this is the first monograph. It provides an introduction to the subject and is a unified treatment of results scattered across the literature, filling in gaps and showing the connections between different results. The book includes new research going beyond the existing literature, answering questions that naturally arise from this comprehensive approach. The authors serve graduates by starting gently with the basics. For experts, they lead them to the frontiers of current research, making this book a valuable reference source.
Max is a little alien with so much unhappiness. His pals tell him he can't play with them because he's too small. Finally they find something they can all do together; play soccer.
A world-renowned British historian recounts the actions of one of Hitler’s most elite armor units in one of World War II’s most horrific months. June 1944, the month of the D-Day landings carried out by Allied forces in Normandy, France. Germany’s 2nd SS Panzer Division, one of Adolf Hitler’s most elite armor units, had recently been pulled from the Eastern Front and relocated to France in order to regroup, recruit more troops, and restock equipment. With Allied forces suddenly on European ground, the division—Das Reich—was called up to counter the invasion. Its march northward to the shores of Normandy, 15,000 men strong, would become infamous as a tale of unparalleled brutality in World War II. Das Reich is Sir Max Hastings’s narrative of the atrocities committed by the 2nd SS Panzer Division during June of 1944: first, the execution of 99 French civilians in the village of Tulle on June 9; and second, the massacre of 642 more in the village of Oradour-sur-Glane on June 10. Throughout the book, Hastings expertly shifts perspective between French resistance fighters, the British Secret Service (who helped coordinate the French resistance from afar and on the ground), and the German soldiers themselves. With its rare, unbiased approach to the ruthlessness of World War II, Das Reich explores the fragile moral fabric of wartime mentality. Praise for Das Reich “A gripping blend of narrative and investigation.” —Evening Standard “This classic account of WWII is a microcosm of the global conflict. Hastings brings to life the horror that the 2nd SS Panzer division, Das Reich, inflicted upon the citizens living in a bucolic corner of France.” —Dennis Showalter, author of Patton and Rommel and Hitler’s Panzers
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