Cargando…

Homotopical Topology

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 f...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Fomenko, Anatoly (Autor), Fuchs, Dmitry (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edición:2nd ed. 2016.
Colección:Graduate Texts in Mathematics, 273
Temas:
Acceso en línea:Texto Completo

MARC

LEADER 00000nam a22000005i 4500
001 978-3-319-23488-5
003 DE-He213
005 20220114012256.0
007 cr nn 008mamaa
008 160624s2016 sz | s |||| 0|eng d
020 |a 9783319234885  |9 978-3-319-23488-5 
024 7 |a 10.1007/978-3-319-23488-5  |2 doi 
050 4 |a QA169 
072 7 |a PBF  |2 bicssc 
072 7 |a MAT002010  |2 bisacsh 
072 7 |a PBF  |2 thema 
082 0 4 |a 512.6  |2 23 
100 1 |a Fomenko, Anatoly.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Homotopical Topology  |h [electronic resource] /  |c by Anatoly Fomenko, Dmitry Fuchs. 
250 |a 2nd ed. 2016. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2016. 
300 |a XI, 627 p. 210 illus.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Graduate Texts in Mathematics,  |x 2197-5612 ;  |v 273 
505 0 |a Introduction -- Homotopy -- Homology -- Spectral Sequences of Fibrations -- Cohomology Operations -- The Adams Spectral Sequence -- K-Theory and Other Extraordinary Cohomology Theories. 
520 |a 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. 
650 0 |a Algebra, Homological. 
650 0 |a K-theory. 
650 0 |a Algebraic topology. 
650 1 4 |a Category Theory, Homological Algebra. 
650 2 4 |a K-Theory. 
650 2 4 |a Algebraic Topology. 
700 1 |a Fuchs, Dmitry.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783319234878 
776 0 8 |i Printed edition:  |z 9783319234892 
776 0 8 |i Printed edition:  |z 9783319794907 
830 0 |a Graduate Texts in Mathematics,  |x 2197-5612 ;  |v 273 
856 4 0 |u https://doi.uam.elogim.com/10.1007/978-3-319-23488-5  |z Texto Completo 
912 |a ZDB-2-SMA 
912 |a ZDB-2-SXMS 
950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713)