Another locally connected Hausdorff continuum not connected by ordered continua
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- by J. L. Cornette and B. Lehman PDF
- Proc. Amer. Math. Soc. 35 (1972), 281-284 Request permission
Abstract:
An example is given of a locally connected Hausdorff continuum which is not connected by ordered continua.References
- John L. Kelley, General topology, D. Van Nostrand Co., Inc., Toronto-New York-London, 1955. MR 0070144
- Sibe Mardešić, On the Hahn-Mazurkiewicz theorem in nonmetric spaces, Proc. Amer. Math. Soc. 11 (1960), 929–937. MR 117688, DOI 10.1090/S0002-9939-1960-0117688-X
- Sibe Mardešić, A locally connected continuum which contains no proper locally connected subcontinuum, Glasnik Mat. Ser. III 2(22) (1967), 167–178 (English, with Serbo-Croatian summary). MR 221474
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 35 (1972), 281-284
- MSC: Primary 54F15; Secondary 54D05, 54F05
- DOI: https://doi.org/10.1090/S0002-9939-1972-0307200-2
- MathSciNet review: 0307200