Vol. 49, No. 2, 1973

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Tame Z2-actions on En

Paul Frazier Duvall, Jr. and Jim Maxwell

Vol. 49 (1973), No. 2, 349–355

Let (En) denote the group of homeomorphisms of euclidean n-space, and G a subgroup isomorphic to Z Z.G is said to be a Z2-action on En and two such actions ale said to be equivalent if they are conjugate in (En). In §2, the notion of a tame Z2-action is introduced and for n 5 tame Z2-actions are shown to be classified by π1(SOn2)Z2. In §3, tameness is shown to be inherited by a subaction of a tame Z2-action and an example of a nontame Z2-action with tame subactions is given.

Mathematical Subject Classification
Primary: 57E30
Received: 3 August 1972
Published: 1 December 1973
Paul Frazier Duvall, Jr.
Jim Maxwell
Department of Projects
American Mathematical Society
Providence RI 02906
United States