Abstract
In topological spaces every normal space with a countable base is metacompact. We show that this is not necessarily true in generalized topological spaces; more exactly we give an example of a μ-normal space with a countable μ-base which has a μ-open cover with no μ-open point-finite refinement.
| Original language | English |
|---|---|
| Pages (from-to) | 494-498 |
| Number of pages | 5 |
| Journal | Acta Mathematica Hungarica |
| Volume | 144 |
| Issue number | 2 |
| DOIs | |
| State | Published - 1 Nov 2014 |
Keywords
- countable μ-base
- generalized topological space
- μ-compact
- μ-Lindelöf
- μ-locally finite
- μ-metacompact
- μ-open cover
- μ-paracompact
- μ-point finite
- μ-separation