Analogues of Treybig’s product theorem
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- by H. Murat Tuncali PDF
- Proc. Amer. Math. Soc. 108 (1990), 855-858 Request permission
Abstract:
L. B. Treybig proved that a continuous Hausdorff image of a compact ordered space does not contain a nonmetric product of compact, infinite spaces. Analogous results hold for the images of rim-countable continua and locally connected, rim-scattered continua.References
- W. Bula, Metrization theorems for continuous images of compact ordered spaces, Topology and order structures, Part 2 (Amsterdam, 1981) Math. Centre Tracts, vol. 169, Math. Centrum, Amsterdam, 1983, pp. 23–29. MR 736690
- Ryszard Engelking, Topologia ogólna, Państwowe Wydawnictwo Naukowe, Warsaw, 1975 (Polish). Biblioteka Matematyczna, Tom 47. [Mathematics Library. Vol. 47]. MR 0500779
- L. B. Treybig, Concerning continuous images of compact ordered spaces, Proc. Amer. Math. Soc. 15 (1964), 866–871. MR 167953, DOI 10.1090/S0002-9939-1964-0167953-9
Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 108 (1990), 855-858
- MSC: Primary 54F25; Secondary 54E35, 54F50
- DOI: https://doi.org/10.1090/S0002-9939-1990-0931738-9
- MathSciNet review: 931738