Infinite-ods in arcwise connected continua
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- by Eldon J. Vought PDF
- Proc. Amer. Math. Soc. 118 (1993), 317-320 Request permission
Abstract:
The theorem is proved that a continuum that has only finitely many arc components (hence an arcwise connected continuum) and contains an $n$-od for every integer $n$ must contain an infinite-od.References
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- Jo Heath, On $n$-ods, Houston J. Math. 9 (1983), no.Β 4, 477β487. MR 732239
- Van C. Nall, On the presence of $n$-ods and infinite-ods, Houston J. Math. 15 (1989), no.Β 2, 245β247. MR 1022065
- Eldon J. Vought, $\omega$-connected continua and Jonesβ $K$ function, Proc. Amer. Math. Soc. 91 (1984), no.Β 4, 633β636. MR 746104, DOI 10.1090/S0002-9939-1984-0746104-6
Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 118 (1993), 317-320
- MSC: Primary 54F15
- DOI: https://doi.org/10.1090/S0002-9939-1993-1146867-X
- MathSciNet review: 1146867