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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Some characterizations of developable spaces
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by Harald Brandenburg PDF
Proc. Amer. Math. Soc. 80 (1980), 157-161 Request permission

Abstract:

Two characterizations of developable spaces are proved which may be viewed as analogues, for developable spaces, of the Nagata-Smirnov metrization theorem or of the “double sequence metrization theorem” of Nagata respectively.
References
  • A. V. Arhangel′skiĭ, Some metrization theorems, Uspehi Mat. Nauk 18 (1963), no. 5 (113), 139–145 (Russian). MR 0156318
  • R. H. Bing, Metrization of topological spaces, Canad. J. Math. 3 (1951), 175–186. MR 43449, DOI 10.4153/cjm-1951-022-3
  • H. Brandenburg, On a class of nearness spaces and the epireflective hull of developable topological spaces, Proc. Internat. Sympos. on Topology and its Appl. (Beograd, 1977) (to appear). —, On spaces with a ${G_\delta }$-basis (submitted).
  • Arthur Charlesworth, A note on Urysohn’s metrization theorem, Amer. Math. Monthly 83 (1976), no. 9, 718–720. MR 436088, DOI 10.2307/2318953
  • John William Green, Completion and semicompletion of Moore spaces, Pacific J. Math. 57 (1975), no. 1, 153–165. MR 394584
  • R. E. Hodel, Some results in metrization theory, 1950–1972, Topology Conference (Virginia Polytech. Inst. and State Univ., Blacksburg, Va., 1973) Lecture Notes in Math., Vol. 375, Springer, Berlin, 1974, pp. 120–136. MR 0355986
  • Kiiti Morita, Star-finite coverings and the star-finite property, Math. Japon. 1 (1948), 60–68. MR 26803
  • Jun-iti Nagata, A contribution to the theory of metrization, J. Inst. Polytech. Osaka City Univ. Ser. A 8 (1957), 185–192. MR 97789
  • J. M. Worrell Jr. and H. H. Wicke, Characterizations of developable topological spaces, Canadian J. Math. 17 (1965), 820–830. MR 182945, DOI 10.4153/CJM-1965-080-3
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Additional Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 80 (1980), 157-161
  • MSC: Primary 54E30
  • DOI: https://doi.org/10.1090/S0002-9939-1980-0574527-3
  • MathSciNet review: 574527