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...

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第一著者:	Vladimir V. Tkachuk
フォーマット:	Artigo
言語:	Inglês
出版事項:	Universitat Politècnica de València 2009-04-01
シリーズ:	Applied General Topology
主題:	Condensation Continuous image Lindelöf Σ-space σ –compact space Topology of pointwise convergence Network weight Tightness Lindelöf space
オンライン･アクセス:	http://polipapers.upv.es/index.php/AGT/article/view/1786
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