Commutator Calculus and Groups of Homotopy Classes

Commutator Calculus and Groups of Homotopy Classes PDF Author: Hans J. Baues
Publisher: Cambridge University Press
ISBN: 0521284244
Category : Mathematics
Languages : en
Pages : 169

Book Description
A fundamental problem of algebraic topology is the classification of homotopy types and homotopy classes of maps. In this work the author extends results of rational homotopy theory to a subring of the rationale. The methods of proof employ classical commutator calculus of nilpotent group and Lie algebra theory and rely on an extensive and systematic study of the algebraic properties of the classical homotopy operations (composition and addition of maps, smash products, Whitehead products and higher order James-Hopi invariants). The account is essentially self-contained and should be accessible to non-specialists and graduate students with some background in algebraic topology and homotopy theory.

Commutator Calculus and Groups of Homotopy Classes

Commutator Calculus and Groups of Homotopy Classes PDF Author: Hans Joachim Baues
Publisher:
ISBN: 9781107370739
Category : Calculus
Languages : en
Pages : 168

Book Description
In this work the author extends results of rational homotopy theory to a subring of the rationale.

Commutator Calculus and Groups of Homotopy Classes

Commutator Calculus and Groups of Homotopy Classes PDF Author: Hans Joachim Baues
Publisher: Cambridge University Press
ISBN: 9780521284240
Category : Mathematics
Languages : en
Pages : 168

Book Description
A fundamental problem of algebraic topology is the classification of homotopy types and homotopy classes of maps. In this work the author extends results of rational homotopy theory to a subring of the rationale. The methods of proof employ classical commutator calculus of nilpotent group and Lie algebra theory and rely on an extensive and systematic study of the algebraic properties of the classical homotopy operations (composition and addition of maps, smash products, Whitehead products and higher order James-Hopi invariants). The account is essentially self-contained and should be accessible to non-specialists and graduate students with some background in algebraic topology and homotopy theory.

Commutator Theory for Congruence Modular Varieties

Commutator Theory for Congruence Modular Varieties PDF Author: Ralph Freese
Publisher: CUP Archive
ISBN: 9780521348324
Category : Mathematics
Languages : en
Pages : 244

Book Description


Groups of Lie Type and Their Geometries

Groups of Lie Type and Their Geometries PDF Author: William M. Kantor
Publisher: Cambridge University Press
ISBN: 052146790X
Category : Mathematics
Languages : en
Pages : 324

Book Description
Silk Hope, NC is a buoyant and moving parable in which two good women find, among the hidden, forgotten virtues of the past, a sustenance to carry them into the future.

Combinatorial Homotopy and 4-dimensional Complexes

Combinatorial Homotopy and 4-dimensional Complexes PDF Author: Hans J. Baues
Publisher: Walter de Gruyter
ISBN: 9783110124880
Category : Mathematics
Languages : en
Pages : 412

Book Description
The bulk of the book is devoted to the algebraic theory of quadratic modules and their connections with 4-dimensional complexes, Pontrjagin squares, homotopy groups, the cohomology of categories, and algebraic K-theory. The first three chapters provide the background needed and may serve as an introduction to basic combinatorial homotopy theory. Annotation copyrighted by Book News, Inc., Portland, OR

Topics in Varieties of Group Representations

Topics in Varieties of Group Representations PDF Author: Samuel M. Vovsi
Publisher: Cambridge University Press
ISBN: 0521424100
Category : Mathematics
Languages : en
Pages : 218

Book Description
This book is devoted to the theory of group representations, a young and promising area of modern algebra. It provides a detailed exposition of several central topics in the field, leading to the most current advances and developments. Much of the included material has never been available in book form before. It is intended for a broad audience of researchers and graduate students, working in abstract algebra and its many applications.

Shintani Zeta Functions

Shintani Zeta Functions PDF Author: Akihiko Yukie
Publisher: Cambridge University Press
ISBN: 0521448042
Category : Mathematics
Languages : en
Pages : 355

Book Description
This is amongst the first books on the theory of prehomogeneous vector spaces, and represents the author's deep study of the subject.

Algebraic Varieties

Algebraic Varieties PDF Author: G. Kempf
Publisher: Cambridge University Press
ISBN: 9780521426138
Category : Mathematics
Languages : en
Pages : 180

Book Description
An introduction to the theory of algebraic functions on varieties from a sheaf theoretic standpoint.

Surveys in Combinatorics, 1993

Surveys in Combinatorics, 1993 PDF Author: Keith Walker
Publisher: Cambridge University Press
ISBN: 0521448573
Category : Combinatorial analysis
Languages : en
Pages : 299

Book Description
This volume contains the invited papers presented at the 14th British Combinatorial Conference, held at the University of Keele in July 1993.