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Title: | Sequential topological conditions in R in the absence of the axiom of choice | Authors: | Gutierres, Gonçalo | Issue Date: | 2003 | Citation: | MLQ. 49:3 (2003) 293-298 | Abstract: | It is known that - assuming the axiom of choice - for subsets A of R the following hold: (a) A is compact iff it is sequentially compact, (b) A is complete iff it is closed in R, (c) R is a sequential space. We will show that these assertions are not provable in the absence of the axiom of choice, and that they are equivalent to each | URI: | https://hdl.handle.net/10316/8227 | DOI: | 10.1002/malq.200310029 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais |
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