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Handbook of Homotopy Theory
The Handbook of Homotopy Theory provides a panoramic view of an active area in mathematics that is currently seeing dramatic solutions to long-standing open problems, and is proving itself of increasing importance across many other mathematical disciplines. The origins of the subject date back to work of Henri Poincaré and Heinz Hopf in the early 20th century, but it has seen enormous progress in the 21st century. A highlight of this volume is an introduction to and diverse applications of the newly established foundational theory of ¥ -categories. The coverage is vast, ranging from axiomatic to applied, from foundational to computational, and includes surveys of applications both geometric and algebraic. The contributors are among the most active and creative researchers in the field. The 22 chapters by 31 contributors are designed to address novices, as well as established mathematicians, interested in learning the state of the art in this field, whose methods are of increasing importance in many other areas.
In the Eye of All Trade
In an exploration of the oceanic connections of the Atlantic world, Michael J. Jarvis recovers a mariner's view of early America as seen through the eyes of Bermuda's seafarers. The first social history of eighteenth-century Bermuda, this book profiles how one especially intensive maritime community capitalized on its position "in the eye of all trade." Jarvis takes readers aboard small Bermudian sloops and follows white and enslaved sailors as they shuttled cargoes between ports, raked salt, harvested timber, salvaged shipwrecks, hunted whales, captured prizes, and smuggled contraband in an expansive maritime sphere spanning Great Britain's North American and Caribbean colonies. In doing so...
Equivariant Stable Homotopy Theory and the Kervaire Invariant Problem
A complete and definitive account of the authors' resolution of the Kervaire invariant problem in stable homotopy theory.
Register of Retired Commissioned and Warrant Officers, Regular and Reserve, of the United States Navy
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Pancreatic Cancer
Michael J. Lippe was diagnosed with pancreatic cancer in 2007. This is his story, and the story of pancreatic cancer, narrated by Lippe and Dr. Dung T. Le, the physician who is treating him. In telling these stories, Lippe and Le alternate chapters. Lippe writes about the early signs that something was wrong; Le continues with a description of pancreatic cancer, its symptoms, and its treatments. Lippe talks about his prognosis, contemplates the prospect of death, and describes how he began to cope; Le explains the importance, for both doctor and patient, of balancing hope and truth. Lippe speaks frankly about the toll the disease takes on his marriage and family; Le offers a general picture ...
The Adams Spectral Sequence for Topological Modular Forms
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 degr...
