Another locally connected Hausdorff continuum not connected by ordered continua

Cornette, J. L.; Lehman, B.

doi:10.1090/S0002-9939-1972-0307200-2

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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

Another locally connected Hausdorff continuum not connected by ordered continua
HTML articles powered by AMS MathViewer

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