A cyclic monotonically normal space which is not $K_ 0$
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- by Mary Ellen Rudin PDF
- Proc. Amer. Math. Soc. 119 (1993), 303-307 Request permission
Abstract:
We construct a space as in the title, thus answering a variety of questions.References
- Carlos J. R. Borges, On stratifiable spaces, Pacific J. Math. 17 (1966), 1–16. MR 188982, DOI 10.2140/pjm.1966.17.1
- Z. Balogh and M. E. Rudin, Monotone normality, Topology Appl. 47 (1992), no. 2, 115–127. MR 1193194, DOI 10.1016/0166-8641(92)90066-9 E. van Douwen, Simultaneous extensions of continuous functions, Thesis, Vrjie Universiteit, Amsterdam, 1975. R. Heath, Stronger forms of monotonic normality (to appear).
- K. Kuratowski, Topology. Vol. I, Academic Press, New York-London; Państwowe Wydawnictwo Naukowe [Polish Scientific Publishers], Warsaw, 1966. New edition, revised and augmented; Translated from the French by J. Jaworowski. MR 0217751 P. Moody, Acyclic monotonically normal spaces, Thesis, Mathematical Institute, Oxford, 1988.
- P. J. Moody and A. W. Roscoe, Acyclic monotone normality, Topology Appl. 47 (1992), no. 1, 53–67. MR 1189992, DOI 10.1016/0166-8641(92)90114-F
- Jan van Mill, The reduced measure algebra and a $K_{1}$-space which is not $K_{0}$, Topology Appl. 13 (1982), no. 2, 123–132. MR 644107, DOI 10.1016/0166-8641(82)90014-1
- Jan van Mill and George M. Reed (eds.), Open problems in topology, North-Holland Publishing Co., Amsterdam, 1990. MR 1078636
- P. J. Moody, G. M. Reed, A. W. Roscoe, and P. J. Collins, A lattice of conditions on topological spaces. II, Fund. Math. 138 (1991), no. 2, 69–81. MR 1124537, DOI 10.4064/fm-138-2-69-81 P. Zenor, Monotonically normal spaces, Notices Amer. Math. Soc. 17 (1970), 1034.
Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 119 (1993), 303-307
- MSC: Primary 54D15
- DOI: https://doi.org/10.1090/S0002-9939-1993-1185281-8
- MathSciNet review: 1185281