Homotopical topology [electronic resource] / Anatoly Fomenko, Dmitry Fuchs.
Fomenko, A. T., author.; Fuks, D. B., author.
2016
QA612.7
Available Online

Linked e-resources

Linked Resource Online Access
Concurrent users Unlimited
Authorized users Authorized users
Document Delivery Supplied Can lend chapters, not whole ebooks

Details

Title Homotopical topology [electronic resource] / Anatoly Fomenko, Dmitry Fuchs.
Author Fomenko, A. T., author.
Edition Second edition.
ISBN 9783319234885 (electronic book)
3319234889 (electronic book)
9783319234878
DOI https://doi.org/10.1007/978-3-319-23488-5
Published Switzerland : Springer, 2016.
Language English
Description 1 online resource (xi, 627 pages) : illustrations.
Item Number 10.1007/978-3-319-23488-5 doi
Call Number QA612.7
Dewey Decimal Classification 514/.24
Summary This classic text of the renowned Moscow mathematical school equips the aspiring mathematician with a solid grounding in the core of topology, from a homotopical perspective. Its comprehensiveness and depth of treatment are unmatched among topology textbooks: in addition to covering the basics--the fundamental notions and constructions of homotopy theory, covering spaces and the fundamental group, CW complexes, homology and cohomology, homological algebra--the book treats essential advanced topics, such as obstruction theory, characteristic classes, Steenrod squares, K-theory and cobordism theory, and, with distinctive thoroughness and lucidity, spectral sequences. The organization of the material around the major achievements of the golden era of topology--the Adams conjecture, Bott periodicity, the Hirzebruch-Riemann-Roch theorem, the Atiyah-Singer index theorem, to name a few--paints a clear picture of the canon of the subject. Grassmannians, loop spaces, and classical groups play a central role in mathematics, and therefore in the presentation of this book, as well. A judicious focus on the key ideas, at an appropriate magnification of detail, enables the reader to navigate the breadth of material, confidently, without the disorientation of algebraic minutiae. Many exercises are integrated throughout the text to build up the reader's mastery of concepts and techniques. Numerous technical illustrations elucidate geometric constructions and the mechanics of spectral sequences and other sophisticated methods. Over fifty hauntingly captivating images by A. T. Fomenko artistically render the wondrous beauty, and mystery, of the subject.
Bibliography, etc. Note Includes bibliographical references and indexes.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed July 5, 2016).
Added Author Fuks, D. B., author.
Series Graduate texts in mathematics ; 273.
Available in Other Form Print version: 9783319234878
Linked Resources Online Access
Record Appears in Online Resources > Ebooks
All Resources
Introduction
Homotopy
Homology
Spectral Sequences of Fibrations
Cohomology Operations
The Adams Spectral Sequence
K-Theory and Other Extraordinary Cohomology Theories.

Browse Subjects

Show more subjects...

Statistics

from
to
Export