Mike intends to continue in the quiet and peaceful life of a philosophy professor, but his friend, Ron, seems dead-set on rewriting the laws of physics. As Ron delves deeper into a hair-brained theory of his own, he discovers another world, invisible and intangible to us, but existing in the same space as our world. Ron persuades Mike to join him, and together they traverse the harsh conditions of an alien world locked in war. "At that moment, I was no longer Michael. I was no longer intellectual or diplomatic. The time for that was gone. Now it was the time to act. Now was the time of reckoning. I became a force. I became death and destruction. I became blood and fire. My heart pounded to the beat of an instinctive, primitive, and intrinsic war drum. I was prosecutor, judge, jury, and executioner. I was the tribunal. The crime had been committed. Justice required punishment. And I was there to deliver. Deliver I did. My battle cry delivered the accusation. My weapon served the verdict. And the rounds fired from my gun executed the sentence. "Do I look back on my actions with pride? No. Would I have spared them if there was another way? Yes. I wish I could have spared them. I wish I could have let them be. But they would not let Edengone be. Then can I reflect on my choices and look virtue and justice in the eye with confidence? Yes; a resounding and emphatic yes. The correct action is not always a pleasant or happy one, but it is necessary and always the best action. How do I justify my actions? That is between me and the powers I answer to. Let the world think of me as they will. I was trained to destroy, but more importantly, I was trained to know when to destroy. I do not reflect on my actions with any pride, but I do not reflect with any doubt, either.
The story that has been told for hundreds of years is told again, this time from a first-person perspective that reveals a facet of the timeless outlaw that has seldom been explored before. With the king gone to war and local rulers grappling for power, the narrator finds himself on the brink of a war within his own lands. He and his few allies vie for the lives of a delusional people; a people who believe that the same leaders trying to destroy them are their saviors, and Robin Hood is no exception among those leaders.
The author defines and constructs mixed Hodge structures on real schematic homotopy types of complex quasi-projective varieties, giving mixed Hodge structures on their homotopy groups and pro-algebraic fundamental groups. The author also shows that these split on tensoring with the ring R[x] equipped with the Hodge filtration given by powers of (x−i), giving new results even for simply connected varieties. The mixed Hodge structures can thus be recovered from the Gysin spectral sequence of cohomology groups of local systems, together with the monodromy action at the Archimedean place. As the basepoint varies, these structures all become real variations of mixed Hodge structure.
Simplicial sets are discrete analogs of topological spaces. They have played a central role in algebraic topology ever since their introduction in the late 1940s, and they also play an important role in other areas such as geometric topology and algebraic geometry. On a formal level, the homotopy theory of simplicial sets is equivalent to the homotopy theory of topological spaces. In view of this equivalence, one can apply discrete, algebraic techniques to perform basic topological constructions. These techniques are particularly appropriate in the theory of localization and completion of topological spaces, which was developed in the early 1970s. Since it was first published in 1967, Simplicial Objects in Algebraic Topology has been the standard reference for the theory of simplicial sets and their relationship to the homotopy theory of topological spaces. J. Peter May gives a lucid account of the basic homotopy theory of simplicial sets, together with the equivalence of homotopy theories alluded to above. The central theme is the simplicial approach to the theory of fibrations and bundles, and especially the algebraization of fibration and bundle theory in terms of "twisted Cartesian products." The Serre spectral sequence is described in terms of this algebraization. Other topics treated in detail include Eilenberg-MacLane complexes, Postnikov systems, simplicial groups, classifying complexes, simplicial Abelian groups, and acyclic models. "Simplicial Objects in Algebraic Topology presents much of the elementary material of algebraic topology from the semi-simplicial viewpoint. It should prove very valuable to anyone wishing to learn semi-simplicial topology. [May] has included detailed proofs, and he has succeeded very well in the task of organizing a large body of previously scattered material."—Mathematical Review
Proceedings of the COSNet/CSIRO Workshop on Turbulence and Coherent Structures in Fluids, Plasmas and Nonlinear Media, the Australian National University, Canberra, Australia, 10-13 January 2006
Proceedings of the COSNet/CSIRO Workshop on Turbulence and Coherent Structures in Fluids, Plasmas and Nonlinear Media, the Australian National University, Canberra, Australia, 10-13 January 2006
The Chickasaw Nation, an American Indian nation headquartered in southeastern Oklahoma, entered into a period of substantial growth in the late 1980s. Following its successful reorganization and expansion, which was enabled by federal policies for tribal self-determination, the Nation pursued gaming and other industries to affect economic growth. From 1987 to 2009 the Nation's budget increased exponentially as tribal investments produced increasingly large revenues for a growing Chickasaw population. Coincident to this growth, the Chickasaw Nation began acquiring and creating museums and heritage properties to interpret their own history, heritage, and culture through diverse exhibitionary representations. By 2009, the Chickasaw Nation directed representation of itself at five museum and heritage properties throughout its historic boundaries. Josh Gorman examines the history of these sites and argues that the Chickasaw Nation is using museums and heritage sites as places to define itself as a coherent and legitimate contemporary Indian nation. In doing so, they are necessarily engaging with the shifting historiographical paradigms as well as changing articulations of how museums function and what they represent. The roles of the Chickasaw Nation's museums and heritage sites in defining and creating discursive representations of sovereignty are examined within their historicized local contexts. The work describes the museum exhibitions' dialogue with the historiography of the Chickasaw Nation, the literature of new museum studies, and the indigenous exhibitionary grammars emerging from indigenous museums throughout the United States and the world.
Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry, and Lie groups. This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics either specializing in this area or continuing on to other fields. J. Peter May's approach reflects the enormous internal developments within algebraic topology over the past several decades, most of which are largely unknown to mathematicians in other fields. But he also retains the classical presentations of various topics where appropriate. Most chapters end with problems that further explore and refine the concepts presented. The final four chapters provide sketches of substantial areas of algebraic topology that are normally omitted from introductory texts, and the book concludes with a list of suggested readings for those interested in delving further into the field.
With firm foundations dating only from the 1950s, algebraic topology is a relatively young area of mathematics. There are very few textbooks that treat fundamental topics beyond a first course, and many topics now essential to the field are not treated in any textbook. J. Peter May’s A Concise Course in Algebraic Topology addresses the standard first course material, such as fundamental groups, covering spaces, the basics of homotopy theory, and homology and cohomology. In this sequel, May and his coauthor, Kathleen Ponto, cover topics that are essential for algebraic topologists and others interested in algebraic topology, but that are not treated in standard texts. They focus on the localization and completion of topological spaces, model categories, and Hopf algebras. The first half of the book sets out the basic theory of localization and completion of nilpotent spaces, using the most elementary treatment the authors know of. It makes no use of simplicial techniques or model categories, and it provides full details of other necessary preliminaries. With these topics as motivation, most of the second half of the book sets out the theory of model categories, which is the central organizing framework for homotopical algebra in general. Examples from topology and homological algebra are treated in parallel. A short last part develops the basic theory of bialgebras and Hopf algebras.
Mark J.P. Wolf’s study of imaginary worlds theorizes world-building within and across media, including literature, comics, film, radio, television, board games, video games, the Internet, and more. Building Imaginary Worlds departs from prior approaches to imaginary worlds that focused mainly on narrative, medium, or genre, and instead considers imaginary worlds as dynamic entities in and of themselves. Wolf argues that imaginary worlds—which are often transnarrative, transmedial, and transauthorial in nature—are compelling objects of inquiry for Media Studies. Chapters touch on: a theoretical analysis of how world-building extends beyond storytelling, the engagement of the audience, and the way worlds are conceptualized and experienced a history of imaginary worlds that follows their development over three millennia from the fictional islands of Homer’s Odyssey to the present internarrative theory examining how narratives set in the same world can interact and relate to one another an examination of transmedial growth and adaptation, and what happens when worlds make the jump between media an analysis of the transauthorial nature of imaginary worlds, the resulting concentric circles of authorship, and related topics of canonicity, participatory worlds, and subcreation’s relationship with divine Creation Building Imaginary Worlds also provides the scholar of imaginary worlds with a glossary of terms and a detailed timeline that spans three millennia and more than 1,400 imaginary worlds, listing their names, creators, and the works in which they first appeared.
Mike intends to continue in the quiet and peaceful life of a philosophy professor, but his friend, Ron, seems dead-set on rewriting the laws of physics. As Ron delves deeper into a hair-brained theory of his own, he discovers another world, invisible and intangible to us, but existing in the same space as our world. Ron persuades Mike to join him, and together they traverse the harsh conditions of an alien world locked in war. "At that moment, I was no longer Michael. I was no longer intellectual or diplomatic. The time for that was gone. Now it was the time to act. Now was the time of reckoning. I became a force. I became death and destruction. I became blood and fire. My heart pounded to the beat of an instinctive, primitive, and intrinsic war drum. I was prosecutor, judge, jury, and executioner. I was the tribunal. The crime had been committed. Justice required punishment. And I was there to deliver. Deliver I did. My battle cry delivered the accusation. My weapon served the verdict. And the rounds fired from my gun executed the sentence. "Do I look back on my actions with pride? No. Would I have spared them if there was another way? Yes. I wish I could have spared them. I wish I could have let them be. But they would not let Edengone be. Then can I reflect on my choices and look virtue and justice in the eye with confidence? Yes; a resounding and emphatic yes. The correct action is not always a pleasant or happy one, but it is necessary and always the best action. How do I justify my actions? That is between me and the powers I answer to. Let the world think of me as they will. I was trained to destroy, but more importantly, I was trained to know when to destroy. I do not reflect on my actions with any pride, but I do not reflect with any doubt, either.
The story that has been told for hundreds of years is told again, this time from a first-person perspective that reveals a facet of the timeless outlaw that has seldom been explored before. With the king gone to war and local rulers grappling for power, the narrator finds himself on the brink of a war within his own lands. He and his few allies vie for the lives of a delusional people; a people who believe that the same leaders trying to destroy them are their saviors, and Robin Hood is no exception among those leaders.
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