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Abelian properties of Anick spaces /

"Anick spaces are closely connected with both EHP sequences and the study of torsion exponents. In addition they refine the secondary suspension and enter unstable periodicity. In this work we describe their H-space properties as well as universal properties. Techniques include a new kind on Wh...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Gray, Brayton, 1940- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 2017.
Colección:Memoirs of the American Mathematical Society ; no. 1162.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Gray, Brayton,  |d 1940-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PCjHvGhX63pwvTD6mMVvcxC 
245 1 0 |a Abelian properties of Anick spaces /  |c Brayton Gray. 
264 1 |a Providence, Rhode Island :  |b American Mathematical Society,  |c 2017. 
264 4 |c ©2016 
300 |a 1 online resource (v, 111 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Memoirs of the American Mathematical Society,  |x 0065-9266 ;  |v volume 246, number 1162 
588 0 |a Print version record. 
500 |a "Volume 246, Number 1162 (first of 6 numbers), March 2017." 
504 |a Includes bibliographical references (pages 109-110) and index. 
505 0 0 |6 880-01  |g Chapter 1. Introduction -- Chapter 2.  |t Abelian Structures --  |g Chapter 3.  |t Whitehead Products --  |g Chapter 4.  |t Index p approximation --  |g Chapter 5.  |t Simplification --  |g Chapter 6.  |t Constructing gamma _k --  |g Chapter 7.  |t Universal Properties --  |g Appendix A.  |t The Case n=1 and the Case p=3. 
520 3 |a "Anick spaces are closely connected with both EHP sequences and the study of torsion exponents. In addition they refine the secondary suspension and enter unstable periodicity. In this work we describe their H-space properties as well as universal properties. Techniques include a new kind on Whitehead product defined for maps out of co-H spaces, calculations in an additive category that lies between the unstable category and the stable category, and a controlled version of the extension theorem of Gray and Theriault (Geom. Topol. 14 (2010), no. 1, 243-275)."--Publisher website 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Abelian groups. 
650 0 |a Topological groups. 
650 0 |a Topological spaces. 
650 0 |a Loop spaces. 
650 0 |a H-spaces. 
650 6 |a Groupes abéliens. 
650 6 |a Groupes topologiques. 
650 6 |a Espaces topologiques. 
650 6 |a Espaces de lacets. 
650 6 |a H-espaces. 
650 7 |a Abelian groups  |2 fast 
650 7 |a H-spaces  |2 fast 
650 7 |a Loop spaces  |2 fast 
650 7 |a Topological groups  |2 fast 
650 7 |a Topological spaces  |2 fast 
710 2 |a American Mathematical Society,  |e publisher. 
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776 0 8 |i Print version:  |a Gray, Brayton, 1940-  |t Abelian properties of Anick spaces  |z 9781470423087  |w (DLC) 2016055094  |w (OCoLC)965446111 
830 0 |a Memoirs of the American Mathematical Society ;  |v no. 1162. 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=4908278  |z Texto completo 
880 0 |6 505-01/(S  |a Cover; Title page; Chapter 1. Introduction; 1.1. Statement of Results; 1.2. History; 1.3. Methods and Modifications; 1.4. Outline of Modifications; 1.5. Conventions and Notation; Chapter 2. Abelian Structures; 2.1. Preliminaries; 2.2. Whitehead Products; 2.3. Theriault's Criterion; 2.4. Compatibility of Modifications; 2.5. Properties of and ; Chapter 3. Whitehead Products; 3.1. Defining Whitehead Products Using co- Spaces; 3.2.-space Based and Relative Whitehead Products; 3.3. Iterated Whitehead Products and the Decomposition of Ω *Ω. 
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