(1) Department of Mathematics, Graduate School of Science, Osaka University, 560-0043 Toyonaka, Osaka, Japan
Abstract:
In this paper we shall deal with a weak version of the Borsuk-Ulam theorem forG-isovariant maps, which we call the weak isovariant Borsuk-Ulam theorem.One of the results is that the weak isovariant Borsuk-Ulam theorem in linear G-spheres holds for an arbitrary compactLie group G. On the contrary the weak isovariantBorsuk-Ulam theorem in semilinear G-(homology)spheres holds if and only if G is solvable.Received: 2 April 2002
