Buhagiar, D. Non locally compact points in ultracomplete topological spaces. (English) Zbl 0976.54025 Quest. Answers Gen. Topology 19, No. 1, 125-131 (2001). Summary: We answer a problem posed by V. I. Ponomarev and V. V. Tkachuk [Mosc. Univ. Math. Bull. 42, No. 5, 14-17 (1987); translation from Vestn. Mosk. Univ., Ser. I 1987, No. 5, 16-19 (1987; Zbl 0637.54003)] related with the subspace \(X_C\) of an ultracomplete space \(X\) consisting of the points in \(X\) admitting no compact neighborhood. Cited in 1 Document MSC: 54D99 Fairly general properties of topological spaces 54F05 Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces 54D45 Local compactness, \(\sigma\)-compactness 54D35 Extensions of spaces (compactifications, supercompactifications, completions, etc.) 54D20 Noncompact covering properties (paracompact, Lindelöf, etc.) Keywords:ultracompleteness; Čech completeness; GO-spaces; local compactness Citations:Zbl 0652.54003; Zbl 0637.54003 PDFBibTeX XMLCite \textit{D. Buhagiar}, Quest. Answers Gen. Topology 19, No. 1, 125--131 (2001; Zbl 0976.54025)