“School of Mathematics”

Back to Papers Home
Back to Papers of School of Mathematics

Paper   IPM / M / 8559
School of Mathematics
  Title:   Algebraic characterization of dense-seperability among compact spaces
  Author(s):  E. Momtahan
  Status:   To Appear
  Journal: Comm. Algebra
  Supported by:  IPM
In this note, we show that a compact Hausdorff space X is dense-separable if and only if every family of ideals of C(X) with zero intersection has a countable subfamily with zero intersection. As a consequence of this characterization we observe that every compact dense-separable space with Soc(C(X))=0 has a countable dense and co-dense subset.

Download TeX format
back to top
scroll left or right