Condensations of Cp(X) onto σ-compact spaces
We show, in particular, that if nw(Nt) ≤ k for any t ϵ T and C is a dense subspace of the product ǁ{Nt : t 2 T} then, for any continuous (not necessarily surjective) map ϕ : C ͢ K of C into a compact space K with t(K) ≤ k, we have ψ(ϕ (C)) ≤ k. This result has several applications in Cp-theory. W...
I tiakina i:
| Kaituhi matua: | |
|---|---|
| Hōputu: | Artigo |
| Reo: | Inglês |
| I whakaputaina: |
Universitat Politècnica de València
2009-04-01
|
| Rangatū: | Applied General Topology |
| Ngā marau: | |
| Urunga tuihono: | http://polipapers.upv.es/index.php/AGT/article/view/1786 |
| Ngā Tūtohu: |
Kāore He Tūtohu, Me noho koe te mea tuatahi ki te tūtohu i tēnei pūkete!
|
