# Fixed point sets of transformation groups of Menger manifolds, their pseudo-interiors and their pseudo-boundaries

@article{Iwamoto1996FixedPS, title={Fixed point sets of transformation groups of Menger manifolds, their pseudo-interiors and their pseudo-boundaries}, author={Yutaka Iwamoto}, journal={Topology and its Applications}, year={1996}, volume={68}, pages={267-283} }

Abstract Let G be a compact separable zero-dimensional group with the unit element e . We construct semifree G -actions on Menger manifolds with G -invariant pseudo-interiors and pseudo-boundaries. The main purpose of this paper is to prove the following: For each closed subset X of a Menger manifold M, there exists a semifree G-action on M such that X is the fixed point set of any g ϵ G ⧹ { e }. This gives the affirmative answers to the questions in K. Sakai, Preprint and in A. Chigogidze, K… Expand

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