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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