You are not currently logged in.
Access your personal account or get JSTOR access through your library or other institution:
If You Use a Screen ReaderThis content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Reflection and Weakly Collectionwise Hausdorff Spaces
Tim Laberge and Avner Landver
Proceedings of the American Mathematical Society
Vol. 122, No. 1 (Sep., 1994), pp. 291-302
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2160874
Page Count: 12
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Preview not available
We show that □(θ) implies that there is a first countable $< \theta$-collectionwise Hausdorff space that is not weakly θ-collectionwise Hausdorff. We also show that in the model obtained by Levy collapsing a weakly compact (supercompact) cardinal to ω2, first countable ℵ1-collectionwise Hausdorff spaces are weakly ℵ2-collectionwise Hausdorff (weakly collectionwise Hausdorff). In the last section we show that assuming Eω θ, a certain θ-family of integer-valued functions exists and that in the model obtained by Levy collapsing a supercompact cardinal to ω2, these families do not exist.
Proceedings of the American Mathematical Society © 1994 American Mathematical Society