Reflection and Weakly Collectionwise Hausdorff Spaces

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dc.creatorLaBerge, Tim
dc.creatorLandver, Avner
dc.date1992-10-21
dc.date.accessioned2026-07-07T09:14:49Z
dc.date.available2026-07-07T09:14:49Z
dc.descriptionWe show that square(theta) implies that there is a first countable <theta-collectionwise Hausdorff space that is not weakly theta-collectionwise Hausdorff. We also show that in the model obtained by Levy collapsing a weakly compact (supercompact) cardinal to omega_2, first countable aleph_1-collectionwise Hausdorff spaces are weakly aleph_2-collectionwise Hausdorff (weakly collectionwise Hausdorff). In the last section we show that assuming E^omega_theta, a certain theta-family of integer valued functions exists and that in the model obtained by Levy collapsing a supercompact cardinal to omega_2, these families do not exist.
dc.identifierhttps://arxiv.org/abs/math/9210203
dc.identifierhttp://arxiv.org/abs/math/9210203
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152814
dc.subjectLogic
dc.titleReflection and Weakly Collectionwise Hausdorff Spaces
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