Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/4609
Title: | What is a first countable space? | Authors: | Gutierres, Gonçalo | Keywords: | First countable space; Axiom of Choice | Issue Date: | 2006 | Citation: | Topology and its Applications. 153:18 (2006) 3420-3429 | Abstract: | The definition of first countable space is standard and its meaning is very clear. But is that the case in the absence of the Axiom of Choice? The answer is negative because there are at least three choice-free versions of first countability. And, most likely, the usual definition does not correspond to what we want to be a first countable space. The three definitions as well as other characterizations of first countability are presented and it is discussed under which set-theoretic conditions they remain equivalent. | URI: | https://hdl.handle.net/10316/4609 | DOI: | 10.1016/j.topol.2006.03.003 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
filed80110e1a3234ca28b0a95543ed1d545.pdf | 151.45 kB | Adobe PDF | View/Open |
SCOPUSTM
Citations
2
checked on Apr 22, 2024
WEB OF SCIENCETM
Citations
2
checked on Apr 2, 2024
Page view(s) 50
487
checked on Apr 23, 2024
Download(s)
221
checked on Apr 23, 2024
Google ScholarTM
Check
Altmetric
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.