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Eilenberg-Moore spectral sequences

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The theory of infinite loop spaces has been the center of much recent activity in algebraic topology. Frank Adams surveys this extensive work for researchers and students. Among the major topics covered are generalized cohomology theories and spectra; infinite-loop space machines in the sense of Boadman-Vogt, May, and Segal; localization and group completion; the transfer; the Adams conjecture and several proofs of it; and the recent theories of Adams and Priddy and of Madsen, Snaith, and Tornehave.

Algebraic topology --- Loop spaces --- Espaces de lacets --- Infinite loop spaces. --- Abelian group. --- Adams spectral sequence. --- Adjoint functors. --- Algebraic K-theory. --- Algebraic topology. --- Automorphism. --- Axiom. --- Bott periodicity theorem. --- CW complex. --- Calculation. --- Cartesian product. --- Cobordism. --- Coefficient. --- Cofibration. --- Cohomology operation. --- Cohomology ring. --- Cohomology. --- Commutative diagram. --- Continuous function. --- Counterexample. --- De Rham cohomology. --- Diagram (category theory). --- Differentiable manifold. --- Dimension. --- Discrete space. --- Disjoint union. --- Double coset. --- Eilenberg. --- Eilenberg–Steenrod axioms. --- Endomorphism. --- Epimorphism. --- Equivalence class. --- Euler class. --- Existential quantification. --- Explicit formulae (L-function). --- Exterior algebra. --- F-space. --- Fiber bundle. --- Fibration. --- Finite group. --- Function composition. --- Function space. --- Functor. --- Fundamental class. --- Fundamental group. --- Geometry. --- H-space. --- Homology (mathematics). --- Homomorphism. --- Homotopy category. --- Homotopy group. --- Homotopy. --- Hurewicz theorem. --- Inverse limit. --- J-homomorphism. --- K-theory. --- Limit (mathematics). --- Loop space. --- Mathematical induction. --- Maximal torus. --- Module (mathematics). --- Monoid. --- Monoidal category. --- Moore space. --- Morphism. --- Multiplication. --- Natural transformation. --- P-adic number. --- P-complete. --- Parameter space. --- Permutation. --- Prime number. --- Principal bundle. --- Principal ideal domain. --- Pullback (category theory). --- Quotient space (topology). --- Reduced homology. --- Riemannian manifold. --- Ring spectrum. --- Serre spectral sequence. --- Simplicial set. --- Simplicial space. --- Special case. --- Spectral sequence. --- Stable homotopy theory. --- Steenrod algebra. --- Subalgebra. --- Subring. --- Subset. --- Surjective function. --- Theorem. --- Theory. --- Topological K-theory. --- Topological ring. --- Topological space. --- Topology. --- Universal bundle. --- Universal coefficient theorem. --- Vector bundle. --- Weak equivalence (homotopy theory). --- Topologie algébrique

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It all began atop a drugstore in Princeton, New Jersey, in November 1905. From its modest beginnings, Princeton University Press was to become one of the world's most important scholarly publishers, embracing a wealth of disciplines that have enriched our cultural, academic, and scientific landscape.Both as a tribute to our authors and to celebrate our centenary, Princeton University Press here presents A Century in Books. This beautifully designed volume highlights 100 of the nearly 8,000 books we have published. Necessarily winnowed from a much larger list, these books best typify what has been most lasting, most defining, and most distinctive about our publishing history--from Einstein's The Meaning of Relativity (1922) to the numerous mathematical and other works that marked the Press's watershed decade of the 1940s, including von Neumann and Morgenstern's Theory of Games and Economic Behavior; from milestones of literary criticism by Erich Auerbach and Northop Frye to George Kennan's Pulitzer Prize-winning book on Soviet-American relations; from Milton Friedman and Anna Jacobson Schwartz's A Monetary History of the United States, 1867-1960 to more recent landmarks such as L. Luca Cavalli-Sforza, Paolo Menozzi, and Alberto Piazza's The History and Geography of Human Genes and Robert Shiller's Irrational Exuberance.In addition to succinct descriptions of the 100 titles and a short introduction on the history of the Press, the book features five essays by prominent scholars and writers: Michael Wood discusses the impact on Princeton University Press of intellectuals who fled Nazi Germany and authored many influential books. Anthony Grafton recounts our rich publishing tradition in history, politics, and culture. Sylvia Nasar traces our evolution into a leading voice in economics publishing. Daniel Kevles reflects on Einstein, a figure of special importance to Princeton. And Lord Robert May writes on our long-standing tradition of publishing in mathematics and science.A Century in Books is more than a celebration of 100 years of publishing at Princeton University Press--it is a treasure trove of 100 years of books that have added to the richness of twentieth-century intellectual life.

University presses --- History. --- Princeton University Press --- Ancient history. --- Anthony Grafton. --- Archival research. --- Astronomer. --- Author. --- Book design. --- Book series. --- Burckhardt. --- Capitalism. --- Career. --- Celestial mechanics. --- Clive Granger. --- Computation. --- David Hilbert. --- Econometrics. --- Economist. --- Edith Hamilton. --- Editing. --- Edition (book). --- Editorial. --- Edward Said. --- Empiricism. --- English literature. --- Episode. --- Eranos. --- Ernst Kantorowicz. --- Erudition. --- Erwin Panofsky. --- Essay. --- Facsimile. --- From Caligari to Hitler. --- Gresham Sykes. --- Hans Baron. --- Hardcover. --- Henri Pirenne. --- Hermann Weyl. --- Historicism. --- Humanities. --- Illustration. --- Institution. --- Intellectual history. --- Interwar period. --- J. Franklin Jameson. --- James Merrill. --- John Harsanyi. --- John Maynard Keynes. --- Joseph Strayer. --- Lecture. --- Literature. --- Mainframe computer. --- Mathematician. --- Mathematics. --- Max Planck. --- Modern architecture. --- Modern history. --- Modernity. --- Monarchies in Europe. --- Monograph. --- Narrative. --- Nikolaus Pevsner. --- Novelist. --- Number theory. --- Of Education. --- Old Testament. --- Oskar Morgenstern. --- Paul Samuelson. --- Philology. --- Philosopher. --- Philosophy. --- Physicist. --- Poetry. --- Political science. --- Politics. --- Princeton University Press. --- Princeton University. --- Printing. --- Publication. --- Publishing. --- Renaissance art. --- Renaissance. --- Richard Krautheimer. --- Robert Gilpin. --- Samuel Eilenberg. --- Scientist. --- Stephen Spender. --- Steven Shapin. --- Sylvia Nasar. --- T. S. Eliot. --- Textbook. --- The New York Review of Books. --- The New York Times. --- Theory. --- Time series. --- Time value of money. --- Title page. --- Tradition. --- Vladimir Nabokov. --- Wilhelm Dilthey. --- World War II. --- Writing. --- Auerbach, Erich, 1892-1957 --- Baron, Hans, --- Conkwright, P. J. --- Dilthey, Wilhelm, --- Einstein, Albert, --- Eilenberg, Samuel --- Eliot, T. S. --- Frye, Northrop --- Friedman, Milton, --- Grafton, Anthony --- Granger, C. W. J. --- Gilpin, Robert --- Hilbert, David, --- Hamilton, Edith, --- Harsanyi, John C. --- Jameson, J. Franklin --- Kevles, Daniel J., --- Kennan, George F. --- Kantorowicz, Ernst H. --- Krautheimer, Richard, --- May, Robert M. --- Morgenstern, Oskar, --- Merrill, James, --- Nasar, Sylvia --- Nabokov, Vladimir, --- Panofsky, Erwin, --- Pirenne, Henri, --- Planck, Max, --- Pevsner, Nikolaus, --- Schwartz, Anna J. --- Said, Edward W. --- Sykes, Gresham M. --- Strayer, Joseph R. --- Samuelson, Paul A. --- Spender, Stephen, --- Shapin, Steven --- Von Neumann, John, --- Wood, Michael, --- Wright, Frank Lloyd, --- Weyl, Hermann,

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This book contains accounts of talks held at a symposium in honorof John C. Moore in October 1983 at Princeton University, The workincludes papers in classical homotopy theory, homological algebra,rational homotopy theory, algebraic K-theory of spaces, and othersubjects.

Algebraic topology --- K-theory --- 512.73 --- 515.14 --- 512.73 Cohomology theory of algebraic varieties and schemes --- Cohomology theory of algebraic varieties and schemes --- 515.14 Algebraic topology --- Moore, John C. --- Abelian group. --- Adams spectral sequence. --- Adjoint functors. --- Adjunction (field theory). --- Algebraic K-theory. --- Algebraic closure. --- Algebraic geometry. --- Algebraic group. --- Algebraic number field. --- Algebraic space. --- Algebraic topology. --- Algebraically closed field. --- Associative algebra. --- Boundary (topology). --- CW complex. --- Classification theorem. --- Closure (mathematics). --- Coalgebra. --- Cofibration. --- Cohomology. --- Commutative diagram. --- Commutative property. --- Coproduct. --- Deformation theory. --- Degenerate bilinear form. --- Diagram (category theory). --- Differentiable manifold. --- Dimension (vector space). --- Division algebra. --- Eilenberg–Moore spectral sequence. --- Epimorphism. --- Exterior (topology). --- Formal power series. --- Free Lie algebra. --- Free algebra. --- Freudenthal suspension theorem. --- Function (mathematics). --- Function space. --- Functor. --- G-module. --- Galois extension. --- Global dimension. --- Group cohomology. --- Group homomorphism. --- H-space. --- Hilbert's Theorem 90. --- Homology (mathematics). --- Homomorphism. --- Homotopy category. --- Homotopy group. --- Homotopy. --- Hopf algebra. --- Hopf invariant. --- Hurewicz theorem. --- Inclusion map. --- Inequality (mathematics). --- Integral domain. --- Isometry. --- Isomorphism class. --- K-theory. --- Lie algebra. --- Lie group. --- Limit (category theory). --- Loop space. --- Mathematician. --- Mathematics. --- Noetherian ring. --- Order topology. --- P-adic number. --- Polynomial ring. --- Polynomial. --- Prime number. --- Principal bundle. --- Principal ideal domain. --- Projective module. --- Projective plane. --- Pullback (category theory). --- Pushout (category theory). --- Ring of integers. --- Series (mathematics). --- Sheaf (mathematics). --- Simplicial category. --- Simplicial complex. --- Simplicial set. --- Special case. --- Spectral sequence. --- Square (algebra). --- Stable homotopy theory. --- Steenrod algebra. --- Superalgebra. --- Theorem. --- Topological K-theory. --- Topological space. --- Topology. --- Triviality (mathematics). --- Uniqueness theorem. --- Universal enveloping algebra. --- Vector bundle. --- Weak equivalence (homotopy theory). --- William Browder (mathematician). --- Géométrie algébrique --- K-théorie