details
Author(s)
GonĂ§alo Gutierres;
Title Sequential topological conditions in R in the absence of the axiom of choice
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 other.
Journal Mathematical Logic Quarterly
Volume 49
Year 2003
Issue 3
Page(s) 293298
