On the metastable homotopy of mod 2 Moore spaces

Mikhailov, Roman¹ ; Wu, Jie²

¹Chebyshev Laboratory, St. Petersburg State University, 14th Line, 29b, St. Petersburg, 199178, Russia, St. Petersburg Department of Steklov Mathematical Institute
²Department of Mathematics, National University of Singapore, 10 Lower Kent Ridge Road, Singapore 119076

Algebraic and Geometric Topology, Tome 16 (2016) no. 3, pp. 1773-1797

Résumé

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.

Détail

DOI : 10.2140/agt.2016.16.1773

Classification : 55Q52, 14F35, 55Q20, 55Q05, 55P35
Keywords: Moore space, Cohen group, homotopy groups, homotopy exponent, metastable homotopy, loop space

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