Vol. 136, No. 2, 1989

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Localization of a certain subgroup of self-homotopy equivalences

Ken-ichi Maruyama

Vol. 136 (1989), No. 2, 293–301
Abstract

Let X be a simple, finite C.W. complex. The group #(X) is known to be nilpotent. In this paper, we give a proof of the naturality of localization on this group, #(X)(P) = #(X(P)). The result is then applied to study the group structures of #(X) of rational Hopf spaces and some Lie groups.

Mathematical Subject Classification 2000
Primary: 55P60
Secondary: 55P10
Milestones
Received: 15 October 1987
Revised: 15 April 1988
Published: 1 February 1989
Authors
Ken-ichi Maruyama