A combinatorial approach to the exponents of Moore spaces

In this article, we give a combinatorial approach to the exponents of Moore spaces. Our result states that the projection of the p r + 1 -power map of the loop space of the ( 2 n + 1 ) -dimensional mod p r Moore space to its atomic piece containing the bottom cell T 2 n + 1 { p r } is null homotopic...

Full description

Saved in:
Bibliographic Details
Published inMathematische Zeitschrift Vol. 290; no. 1-2; pp. 289 - 305
Main Authors Cohen, Frederick R., Mikhailov, Roman, Wu, Jie
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2018
Springer Nature B.V
Subjects
Combinatorial analysis
Entrepreneurs
Exponents
Mathematics
Mathematics and Statistics
55Q25
Primary 55P35
Secondary 55Q15
55Q52
Online AccessGet full text

Cover

More Information
Summary:In this article, we give a combinatorial approach to the exponents of Moore spaces. Our result states that the projection of the p r + 1 -power map of the loop space of the ( 2 n + 1 ) -dimensional mod p r Moore space to its atomic piece containing the bottom cell T 2 n + 1 { p r } is null homotopic for n > 1 , p > 3 and r > 1 . This result strengthens the classical result that Ω T 2 n + 1 { p r } has an exponent p r + 1 .
ISSN:0025-5874
1432-1823
DOI:10.1007/s00209-017-2018-5