Displaying similar documents to “A Dowker group”

Two types of remainders of topological groups

Aleksander V. Arhangel'skii (2008)

Commentationes Mathematicae Universitatis Carolinae

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We prove a Dichotomy Theorem: for each Hausdorff compactification b G of an arbitrary topological group G , the remainder b G ∖ G is either pseudocompact or Lindelöf. It follows that if a remainder of a topological group is paracompact or Dieudonne complete, then the remainder is Lindelöf, and the group is a paracompact p -space. This answers a question in A.V. Arhangel’skii, , Moscow Univ. Math. Bull. 54:3 (1999), 1–6. It is shown that every Tychonoff space can be embedded as a closed subspace...