Proceedings of the American Mathematical Society

Author(s): William G. Fleissner
Journal: Proc. Amer. Math. Soc. 131 (2003), 2279-2287.
MSC (2000): Primary 54B10, 54D15, 03E10
Posted: December 30, 2002
Retrieve article in: PDF

Abstract: Let

be a subspace of the product of finitely many ordinals. If

is normal, then

is strongly zero-dimensional, collectionwise normal, and shrinking. The proof uses $(\kappa_1, \ldots , \kappa_n)$ -stationary sets.

1.: Engelking, R. General Topology, Heldermann Verlag, Berlin, 1989. MR 91c:54001
2.: Fleissner, W. Metacompact subspaces of products of ordinals, Proc. Amer. Math. Soc. 130(2002)293-301. MR 2002h:54021
3.: Fleissner, W., Kemoto, N., Terasawa, J. Strong Zero-Dimensionality in Products of Ordinals, submitted.
4.: Kemoto, N., Nogura, T., Smith K., and Yajima Y., Normal subspaces in products of two ordinals, Fund. Math. 151(1996) 279-297. MR 98b:54011
5.: Kemoto, N., Smith, K., and Szeptycki, P. Countable paracompactness versus normality in subspaces of $\omega_1^2$ , Topol. Appl. 104(2000)141-154. MR 2001e:54045
6.: Kemoto, N. and Smith, K. Hereditary countable metacompactness in finite and infinite product spaces of ordinals, Topol. Appl. 77(1997)57-63. MR 98j:54041
7.: Kunen, K. Set Theory, An Introduction to Independence Proofs, Elsevier, 1980. MR 82f:03001
8.: Stanley, A., Normal subspaces of finite products of ordinals, Abstracts AMS 19(1998)474.

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 54B10, 54D15, 03E10

			Journals Home Search Author Info Subscribe Tech Support Help
ISSN 1088-6826 (e) ISSN 0002-9939 (p)

Previous issue \| Table of contents \| Next issue Articles in press \| Recently posted articles \| Most recent issue \| All issues Previous Article \| Next Article


	Comments: webmaster@ams.org © Copyright 2009, American Mathematical Society Privacy Statement		Search the AMS