Please use this identifier to cite or link to this item:
https://repositorio.ufba.br/handle/ri/5411
metadata.dc.type: | Artigo de Periódico |
Title: | Closed products of sets and the axiom of choice |
Other Titles: | Acta Mathematica Hungarica |
Authors: | Jesus, J. P. C. de Silva, S. G. da |
metadata.dc.creator: | Jesus, J. P. C. de Silva, S. G. da |
Abstract: | With a slight modification of a previous argument due to Schechter, we show that the Axiom of Choice is equivalent to the following topological statement: “If a product of a non-empty family of sets is closed in a topological (Tychonoff) product, then at least one of the factors is closed”. We also discuss the case on which one adds the hypothesis that the closed product of sets is a non-empty set. |
URI: | http://www.repositorio.ufba.br/ri/handle/ri/5411 |
Issue Date: | 2011 |
Appears in Collections: | Artigo Publicado em Periódico (IME) |
Files in This Item:
File | Description | Size | Format | |
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878956.pdf Restricted Access | 312,73 kB | Adobe PDF | View/Open Request a copy |
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