## Abstract

Let X and Y be normal locally convex spaces that have a nonempty open set which intersect every

straight line in a bounded set, and let H(X), H(Y ) denote the groups of self-homeomorphisms of X

and Y respectively. Our main goal is to prove the following reconstruction theorem. If there is an isomorphism ϕ between H(X) and H(Y ), then there exists a homeomorphism π between X and Y such that for every h ∈ H(X), ϕ(h) = π ◦ h ◦ π−1

straight line in a bounded set, and let H(X), H(Y ) denote the groups of self-homeomorphisms of X

and Y respectively. Our main goal is to prove the following reconstruction theorem. If there is an isomorphism ϕ between H(X) and H(Y ), then there exists a homeomorphism π between X and Y such that for every h ∈ H(X), ϕ(h) = π ◦ h ◦ π−1

Original language | English |
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Pages (from-to) | 329-360 |

Number of pages | 32 |

Journal | Topology Proceedings |

Volume | 24 |

State | Published - 1999 |