Chandler, Richard E.; Faulkner, Gary D.; Guglielmi, Josephine P.; Memory, Margaret C. Generalizing the Alexandroff-Urysohn double circumference construction. (English) Zbl 0473.54015 Proc. Am. Math. Soc. 83, 606-608 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 10 Documents MSC: 54D35 Extensions of spaces (compactifications, supercompactifications, completions, etc.) 54D40 Remainders in general topology Keywords:unification; Alexandroff-Urysohn double circumference construction; one- point compactification; Steiner and Steiner remainder theorem; Whyburn’s unified space PDFBibTeX XMLCite \textit{R. E. Chandler} et al., Proc. Am. Math. Soc. 83, 606--608 (1981; Zbl 0473.54015) Full Text: DOI References: [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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.