Moscow spaces , Pestov-Tkačenko Problem , and C-embeddings

@inproceedings{Arhangelskii2000MoscowS,
  title={Moscow spaces , Pestov-Tka{\vc}enko Problem , and C-embeddings},
  author={A. Arhangel’skii},
  year={2000}
}
  • A. Arhangel’skii
  • Published 2000
We show that there exists an Abelian topological group G such that the operations in G cannot be extended to the Dieudonné completion μG of the space G in such a way that G becomes a topological subgroup of the topological group μG. This provides a complete answer to a question of V.G. Pestov and M.G. Tkačenko, dating back to 1985. We also identify new large classes of topological groups for which such an extension is possible. The technique developed also allows to find many new solutions to… CONTINUE READING

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