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Differentiable manifolds. --- Algebraic spaces. --- Topological rings.
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This text brings the reader to the frontiers of current research in topological rings. The exercises illustrate many results and theorems while a comprehensive bibliography is also included. The book is aimed at those readers acquainted with some very basic point-set topology and algebra, as normally presented in semester courses at the beginning graduate level or even at the advanced undergraduate level. Familiarity with Hausdorff, metric, compact and locally compact spaces and basic properties of continuous functions, also with groups, rings, fields, vector spaces and modules, and with Zor
Topological rings. --- Rings, Topological --- Associative rings --- Commutative rings
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Algebraic topology --- Dyer-Lashof operations --- H-spaces --- Obstruction theory --- Hopf spaces --- Spaces, Hopf --- Topological groups --- Operations, Dyer-Lashof --- Cohomology operations --- Topological rings --- Anneaux topologiques --- Obstructions, Théorie des --- H-espaces --- Anneaux topologiques. --- Obstructions, Théorie des. --- H-espaces.
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The exceptional cosmic history and the fabulous destinies of exploding stars - supernovae and gamma-ray bursters - are highly fertile areas of research and are also very special tools to further our understanding of the universe. In this book, cosmologists Dr Alain Mazure and Dr Stéphane Basa throw light on the assemblage of facts, hypotheses and cosmological conclusions and show how these beacons' illuminate their immediate surroundings and allow us to study the vast cosmos, like searchlights revealing the matter comprising our universe.
Cosmology. --- Gamma ray bursts. --- Supernovae. --- Subnormal operators --- Mathematics --- Astronomy & Astrophysics --- Physical Sciences & Mathematics --- Calculus --- Astrophysics --- Mathematical Theory --- Supernovas --- Bursts, Cosmic gamma ray --- Bursts, Gamma ray --- Cosmic gamma ray bursts --- Transients, Gamma ray --- 517.13 --- Theory of real numbers --- Subnormal operators. --- 517.13 Theory of real numbers --- Topological rings --- Rings, Topological --- Topological rings. --- Physics. --- Gravitation. --- Astronomy. --- Astrophysics. --- Observations, Astronomical. --- Astronomy --- Space sciences. --- Astronomy, Observations and Techniques. --- Astrophysics and Astroparticles. --- Extraterrestrial Physics, Space Sciences. --- Popular Science in Astronomy. --- Astronomy, Astrophysics and Cosmology. --- Classical and Quantum Gravitation, Relativity Theory. --- Observations. --- Operator theory --- Ordered algebraic structures --- Cataclysmic variable stars --- X-ray sources, Galactic --- Gamma ray astronomy --- X-ray bursts --- Commutative rings --- Associative rings --- Associative rings. --- Commutative rings. --- Rings (Algebra) --- Algèbres associatives --- Algèbres commutatives --- Algèbres topologiques --- Groupes topologiques --- Analyse fonctionnelle --- Operateurs lineaires hilbertiens --- Espaces de hilbert --- Operateurs lineaires
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The construction of the p-adic local Langlands correspondence for mathrm{GL}_2(mathbf{Q}_p) uses in an essential way Fontaine's theory of cyclotomic (varphi ,Gamma )-modules. Here cyclotomic means that Gamma = mathrm {Gal}(mathbf{Q}_p(mu_{p^infty})/mathbf{Q}_p) is the Galois group of the cyclotomic extension of mathbf Q_p. In order to generalize the p-adic local Langlands correspondence to mathrm{GL}_{2}(L), where L is a finite extension of mathbf{Q}_p, it seems necessary to have at our disposal a theory of Lubin-Tate (varphi ,Gamma )-modules. Such a generalization has been carried out, to some extent, by working over the p-adic open unit disk, endowed with the action of the endomorphisms of a Lubin-Tate group. The main idea of this article is to carry out a Lubin-Tate generalization of the theory of cyclotomic (varphi ,Gamma )-modules in a different fashion. Instead of the p-adic open unit disk, the authors work over a character variety that parameterizes the locally L-analytic characters on o_L. They study (varphi ,Gamma )-modules in this setting and relate some of them to what was known previously.
Number theory. --- Algebraic geometry -- Arithmetic problems. Diophantine geometry [See also 11Dxx, 11Gxx] -- Rigid analytic geometry. --- Commutative algebra -- Topological rings and modules [See also 16W60, 16W80] -- Power series rings [See also 13F25]. --- Commutative algebra -- Arithmetic rings and other special rings -- Dedekind, Prüfer, Krull and Mori rings and their generalizations. --- Class field theory. --- Algebraic number theory. --- Functional analysis {For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx} -- Other (nonclassical) types of functional analysis [See also 47Sxx] -- Functional analysis over fields othe. --- Topological groups, Lie groups {For transformation groups, see 54H15, 57Sxx, 58-XX. For abstract harmonic analysis, see 43-XX} -- Lie groups {For the topology of Lie groups and homogeneous spaces, see. --- Number theory -- Discontinuous groups and automorphic forms [See also 11R39, 11S37, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx] {For relations with quadratic forms, see 11E45} -- Galois representations.
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