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Generalizing the Alexandroff-Urysohn double circumference construction. (English) Zbl 0473.54015


MSC:

54D35 Extensions of spaces (compactifications, supercompactifications, completions, etc.)
54D40 Remainders in general topology
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[1] P. S. Alexandroff and P. Urysohn, Mémoire sur les espaces topologique compacts, Verh. Nederl. Akad. Wetensch. Afd. Naturk. Sect. I 14 (1929), 1-96. · JFM 55.0960.02
[2] George L. Cain Jr., Compact and related mappings, Duke Math. J. 33 (1966), 639 – 645. · Zbl 0144.21803
[3] George L. Cain, Richard E. Chandler, and Gary D. Faulkner, Singular sets and remainders, Trans. Amer. Math. Soc. 268 (1981), no. 1, 161 – 171. · Zbl 0492.54010
[4] R. Engelking, On the double circumference of Alexandroff, Bull Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 16 (1968), 629 – 634 (English, with Loose Russian summary). · Zbl 0167.21001
[5] A. K. Steiner and E. F. Steiner, Compactifications as closures of graphs, Fund. Math. 63 (1968), 221 – 223. · Zbl 0177.25203
[6] G. T. Whyburn, A unified space for mappings, Trans. Amer. Math. Soc. 74 (1953), 344 – 350. · Zbl 0053.12303
[7] G. T. Whyburn, Compactification of mappings, Math. Ann. 166 (1966), 168 – 174. · Zbl 0141.20505 · doi:10.1007/BF01361445
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