Algebraic & Geometric Topology

On the metastable homotopy of mod $2$ Moore spaces

Abstract

We study the exponents of metastable homotopy of mod $2$ Moore spaces. We prove that the double loop space of $4n$–dimensional mod $2$ Moore spaces has a multiplicative exponent $4$ below the range of $4$ times the connectivity. As a consequence, the homotopy groups of $4n$–dimensional mod $2$ Moore spaces have an exponent of $4$ below the range of $4$ times the connectivity.

Article information

Source
Algebr. Geom. Topol., Volume 16, Number 3 (2016), 1773-1797.

Dates
Revised: 20 September 2015
Accepted: 13 October 2015
First available in Project Euclid: 28 November 2017

https://projecteuclid.org/euclid.agt/1511895861

Digital Object Identifier
doi:10.2140/agt.2016.16.1773

Mathematical Reviews number (MathSciNet)
MR3523054

Zentralblatt MATH identifier
1354.55005

Citation

Mikhailov, Roman; Wu, Jie. On the metastable homotopy of mod $2$ Moore spaces. Algebr. Geom. Topol. 16 (2016), no. 3, 1773--1797. doi:10.2140/agt.2016.16.1773. https://projecteuclid.org/euclid.agt/1511895861

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