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Categorical Decomposition Techniques in Algebraic Topology

International Conference in Algebraic Topology, Isle of Skye, Scotland, June 2001

Gregory Arone, John Hubbuck, Ran Levi, Michael Weiss (Herausgeber)

Buch | Hardcover

VII, 304 Seiten

2003 | 2004
Springer Basel (Verlag)
978-3-7643-0400-3 (ISBN)

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The book consists of articles at the frontier of current research in Algebraic Topology. It presents recent results by top notch experts, and is intended primarily for researchers and graduate students working in the field of algebraic topology. Included is an important article by Cohen, Johnes and Yan on the homology of the space of smooth loops on a manifold M, endowed with the Chas-Sullivan intersection product, as well as an article by Goerss, Henn and Mahowald on stable homotopy groups of spheres, which uses the cutting edge technology of "topological modular forms".

The functor T and the cohomology of mapping spaces.- On Morava K-theories of an S-arithmetic Group.- Ext groups for the composition of functors.- Homotopy operations and rational homotopy type.- The loop homology algebra of spheres and projective spaces.- On braid groups, free groups, and the loop space Of the 2-sphere.- The K-completion of E6.- The Homotopy of L2V(1) for the Prime 3.- Spherical Space Forms - Homotopy Types and Self-Equivalences.- The Homotopy Type of Two-Regular K-Theory.- Strict model structures for pro-categories.- L-s categories of simply-connected compact simple lie groups Of low rank.- The mccord model for the tensor product of a space And a commutative ring spectrum.- Spaces of multiplicative maps between Highly structured ring spectra.- Colimits, stanley-reisner algebras, and loop spaces.- Maps to spaces in the genus of infinite quaternionic Projective space.

Erscheint lt. Verlag	27.11.2003
Reihe/Serie	Progress in Mathematics
Zusatzinfo	VII, 304 p.
Verlagsort	Basel
Sprache	englisch
Maße	155 x 235 mm
Gewicht	660 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	algebraic topology • Algebraische Topologie • cohomology • Homology • Homotopy • Homotopy group • K-theory • Loop group
ISBN-10	3-7643-0400-6 / 3764304006
ISBN-13	978-3-7643-0400-3 / 9783764304003
Zustand	Neuware