On the metastable homotopy of mod 2 Moore spaces

Abstract

In this article, we study the exponents of metastable homotopy of mod $2$ Moore spaces. Our result gives 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 $4$ below the range of $4$ times the connectivity.

23 pages

References in corpus (1)

• A combinatorial approach to the exponents of Moore spaces

Cited by in corpus (1)

• Combinatorics of double loop suspensions, evaluation maps and Cohen groups