Non-$n$-mutually aposyndetic continua
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- by Leland E. Rogers PDF
- Proc. Amer. Math. Soc. 42 (1974), 595-601 Request permission
Abstract:
Relationships are shown between non-n-mutual aposyndesis and C-cutting in compact metric continua, including results analogous to those of F. B. Jones in the case of nonaposyndesis.References
- Edward E. Grace, Cut sets in totally nonaposyndetic continua, Proc. Amer. Math. Soc. 9 (1958), 98–104. MR 95458, DOI 10.1090/S0002-9939-1958-0095458-X
- C. L. Hagopian, Mutual aposyndesis, Proc. Amer. Math. Soc. 23 (1969), 615–622. MR 247612, DOI 10.1090/S0002-9939-1969-0247612-9
- F. Burton Jones, Concerning non-aposyndetic continua, Amer. J. Math. 70 (1948), 403–413. MR 25161, DOI 10.2307/2372339
- Leland E. Rogers, Concerning $n$-mutual aposyndesis in products of continua, Trans. Amer. Math. Soc. 162 (1971), 239–251. MR 293599, DOI 10.1090/S0002-9947-1971-0293599-6
- Eldon Jon Vought, $n$-aposyndetic continua and cutting theorems, Trans. Amer. Math. Soc. 140 (1969), 127–135. MR 242128, DOI 10.1090/S0002-9947-1969-0242128-2
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 42 (1974), 595-601
- MSC: Primary 54F20
- DOI: https://doi.org/10.1090/S0002-9939-1974-0336717-1
- MathSciNet review: 0336717