H Ring Spectra and Their Applications
Author: Robert R. Bruner
Publisher: Springer
Published: 2006-11-14
Total Pages: 396
ISBN-13: 3540397787
DOWNLOAD EBOOK →Author: Robert R. Bruner
Publisher: Springer
Published: 2006-11-14
Total Pages: 396
ISBN-13: 3540397787
DOWNLOAD EBOOK →Author: Robert R. Bruner
Publisher:
Published: 2014-01-15
Total Pages: 400
ISBN-13: 9783662211045
DOWNLOAD EBOOK →Author: Andrew J. Blumberg
Publisher: Cambridge University Press
Published: 2022-07-21
Total Pages: 441
ISBN-13: 1009123297
DOWNLOAD EBOOK →A graduate-level introduction to the homotopical technology in use at the forefront of modern algebraic topology.
Author: Daniel G. Davis
Publisher: American Mathematical Soc.
Published: 2019-05-30
Total Pages: 268
ISBN-13: 1470442442
DOWNLOAD EBOOK →This volume contains the proceedings of the conference Homotopy Theory: Tools and Applications, in honor of Paul Goerss's 60th birthday, held from July 17–21, 2017, at the University of Illinois at Urbana-Champaign, Urbana, IL. The articles cover a variety of topics spanning the current research frontier of homotopy theory. This includes articles concerning both computations and the formal theory of chromatic homotopy, different aspects of equivariant homotopy theory and K-theory, as well as articles concerned with structured ring spectra, cyclotomic spectra associated to perfectoid fields, and the theory of higher homotopy operations.
Author: R. James Milgram
Publisher: American Mathematical Soc.
Published: 1978
Total Pages: 330
ISBN-13: 0821814338
DOWNLOAD EBOOK →Contains sections on Structure of topological manifolds, Low dimensional manifolds, Geometry of differential manifolds and algebraic varieties, $H$-spaces, loop spaces and $CW$ complexes, Problems.
Author: John Rognes
Publisher: American Mathematical Soc.
Published: 2008
Total Pages: 154
ISBN-13: 0821840762
DOWNLOAD EBOOK →The author introduces the notion of a Galois extension of commutative $S$-algebras ($E_\infty$ ring spectra), often localized with respect to a fixed homology theory. There are numerous examples, including some involving Eilenberg-Mac Lane spectra of commutative rings, real and complex topological $K$-theory, Lubin-Tate spectra and cochain $S$-algebras. He establishes the main theorem of Galois theory in this generality. Its proof involves the notions of separable and etale extensions of commutative $S$-algebras, and the Goerss-Hopkins-Miller theory for $E_\infty$ mapping spaces. He shows that the global sphere spectrum $S$ is separably closed, using Minkowski's discriminant theorem, and he estimates the separable closure of its localization with respect to each of the Morava $K$-theories. He also defines Hopf-Galois extensions of commutative $S$-algebras and studies the complex cobordism spectrum $MU$ as a common integral model for all of the local Lubin-Tate Galois extensions. The author extends the duality theory for topological groups from the classical theory for compact Lie groups, via the topological study by J. R. Klein and the $p$-complete study for $p$-compact groups by T. Bauer, to a general duality theory for stably dualizable groups in the $E$-local stable homotopy category, for any spectrum $E$.
Author: Yurii G. Borisovich
Publisher: Springer
Published: 2006-11-14
Total Pages: 338
ISBN-13: 3540458948
DOWNLOAD EBOOK →Author: Jose L. Bueso
Publisher: Springer
Published: 2007-01-05
Total Pages: 343
ISBN-13: 3540392785
DOWNLOAD EBOOK →The papers in this proceedings volume are selected research papers in different areas of ring theory, including graded rings, differential operator rings, K-theory of noetherian rings, torsion theory, regular rings, cohomology of algebras, local cohomology of noncommutative rings. The book will be important for mathematicians active in research in ring theory.
Author: John McCleary
Publisher: Cambridge University Press
Published: 2001
Total Pages: 579
ISBN-13: 0521567599
DOWNLOAD EBOOK →Spectral sequences are among the most elegant and powerful methods of computation in mathematics. This book describes some of the most important examples of spectral sequences and some of their most spectacular applications. The first part treats the algebraic foundations for this sort of homological algebra, starting from informal calculations. The heart of the text is an exposition of the classical examples from homotopy theory, with chapters on the Leray-Serre spectral sequence, the Eilenberg-Moore spectral sequence, the Adams spectral sequence, and, in this new edition, the Bockstein spectral sequence. The last part of the book treats applications throughout mathematics, including the theory of knots and links, algebraic geometry, differential geometry and algebra. This is an excellent reference for students and researchers in geometry, topology, and algebra.
Author: J. Peter May
Publisher: American Mathematical Soc.
Published: 1975
Total Pages: 116
ISBN-13: 0821818554
DOWNLOAD EBOOK →The basic theory of fibrations is generalized to a context in which fibres, and maps on fibres, are constrained to lie in any preassigned category of spaces [script capital] F. Then axioms are placed on [script capital] F to allow the development of a theory of associated principal fibrations and, under several choices of additional hypotheses on [script capital] F, a classification theorem is proven for such fibrations.