Author(s):
Gutierres, Gonçalo 
Date: 2003
Persistent ID: http://hdl.handle.net/10316/8227
Origin: Estudo Geral - Universidade de Coimbra
Document details
Sequential topological conditions in R in the absence of the axiom of choice
Description
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 http://dx.doi.org/10.1002/malq.200310029
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 http://dx.doi.org/10.1002/malq.200310029
Document Type
Article
Language English
Language English
| Financiadores do RCAAP | |||||||
|
|
|
|
|
|
||