| dc.contributor.author | Moors, Warren B. | |
| dc.contributor.author | Somasundaram, Sivajah | |
| dc.date.accessioned | 2008-11-04T02:16:36Z | |
| dc.date.available | 2008-11-04T02:16:36Z | |
| dc.date.issued | 2002-06 | |
| dc.identifier.citation | Moors, W.B. & Somasundaram, S. (2002). A weakly Stegall space that is not a Stegall space. In Proceedings of the Mathematical Society, 131, 647-654. | en_US |
| dc.identifier.issn | 1088-6826 | |
| dc.identifier.uri | https://hdl.handle.net/10289/1269 | |
| dc.description.abstract | A topological space X is said to belong to the class of Stegall (weakly Stegall) spaces if for every Baire (complete metric) space B and minimal usco φ : B2X, φ is single-valued at some point of B. In this paper we show that under some additional set-theoretic assumptions that are equiconsistent with the existence of a measurable cardinal there is a Banach space X whose dual, equipped with the weak topology, is in the class of weakly Stegall spaces but not in the class of Stegall spaces. This paper also contains an example of a compact space K such that K belongs to the class of weakly Stegall spaces but ( C(K), weak) does not. | en_US |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | en | |
| dc.publisher | Department of Mathematics, University of Waikato | en_NZ |
| dc.rights | First published in Proceedings of the Mathematical Society in volume 131, pages 647-654, published by the American Mathematical Society. Copyright 2002, American Mathematical Society. | en_US |
| dc.subject | Weak Asplun | en_US |
| dc.subject | almost weak Asplund | en_US |
| dc.subject | Stegall space | en_US |
| dc.subject | weakly Stegall space | en_US |
| dc.title | A weakly Stegall space that is not a Stegall space | en_US |
| dc.type | Journal Article | en_US |
| dc.identifier.doi | 10.1090/S0002-9939-02-06717-5 | en_US |
| pubs.elements-id | 55339 | |
| pubs.place-of-publication | Hamilton | en_NZ |
