Please use this identifier to cite or link to this item:
https://repositorio.ufba.br/handle/ri/5648
metadata.dc.type: | Artigo de Periódico |
Title: | Covering properties which, under weak diamond principles, constrain the extents of separable spaces |
Other Titles: | Acta Mathematica Hungarica |
Authors: | Morgan, C. Silva, S. G. da |
metadata.dc.creator: | Morgan, C. Silva, S. G. da |
Abstract: | We show that separable, locally compact spaces with property (a) necessarily have countable extent { i.e., have no uncountable closed, discrete sub- spaces { if the e®ective weak diamond principle }(!; !;<) holds. If the stronger,non-e®ective, diamond principle ©(!; !;<) holds then separable, countably para-compact spaces also have countable extent. We also give a short proof that the latter principle implies there are no small dominating families in !1!. |
URI: | http://www.repositorio.ufba.br/ri/handle/ri/5648 |
Issue Date: | 2010 |
Appears in Collections: | Artigo Publicado em Periódico (IME) |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
__www.springerlink.com_c...9111r30261016r11_fulltext.pdf Restricted Access | 167,81 kB | Adobe PDF | View/Open Request a copy |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.