The connective topological modular forms spectrum, tmf, is in a sense initial among elliptic spectra, and as such is an important link between the homotopy groups of spheres and modular forms. A primary goal of this volume is to give a complete account, with full proofs, of the homotopy of tmf and several tmf-module spectra by means of the classical Adams spectral sequence, thus verifying, correcting, and extending existing approaches. In the process, folklore results are made precise and generalized. Anderson and Brown-Comenetz duality, and the corresponding dualities in homotopy groups, are carefully proved. The volume also includes an account of the homotopy groups of spheres through degree 44, with complete proofs, except that the Adams conjecture is used without proof. Also presented are modern stable proofs of classical results which are hard to extract from the literature. Tools used in this book include a multiplicative spectral sequence generalizing a construction of Davis and Mahowald, and computer software which computes the cohomology of modules over the Steenrod algebra and products therein. Techniques from commutative algebra are used to make the calculation precise and finite. The H∞ ring structure of the sphere and of tmf are used to determine many differentials and relations.
IN THIS BOOK, Members of the Instrumentation and Controls Division, share the history of that Division and the practice of measurement and controls, as practiced at ORNL. The I&C Division was unique in the world, because it included the Craftspeople as well as the Scientists and Engineers in one organization, under the same management.
The Impact of Natural Disasters on Systemic Political and Social Inequities in the U.S. examines how natural disasters impact social inequality in the United States. The contributors cover topics such as criminal justice, demographics, economics, history, political science, and sociology to show how effects of natural disasters vary by social and economic class in the United States. This volumestudies social and political mechanisms in disaster response and relief that enable natural disasters to worsen inequalities in America and offers potential solutions.
This story follows the life of one man who was crucified next to Jesus, his ultimate demise as a member of the zealots, and his redemption through belief in Christ -- Cataloger.
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