Čech-completeness and related properties of the generalized compact-open topology

• Autorzy: Holá L`. , Zsilinszky L.
• Języki publikacji: EN

Abstrakty

EN

The generalized compact-open topology τc on partial continuous functions with closed domains in X and values in Y is studied. If Y is a non-countably compact Čech-complete space with a Gδ-diagonal, then τc is Čech-complete, sieve complete and satisfies the p-space property of Arhangel'skii, respectively, if and only if X is Lindelof and locally compact. Lindelofness, paracompactness and normality of τc is also investigated. New results are obtained on Čech-completeness, sieve completeness and the p-space property for the compact-open topology on the space of continuous functions with a general range Y.

Słowa kluczowe

EN

generalized compact-open topology; Fell topology; compact-open topology; Cech- complete; sieve complete; p-spaces; Lindelof; paracompact and normal spaces

PL

uogólniona topologia zwarto-otwarta; topologia Fella; topologia zwarto -otwarta; Cech-kompletne; kompletne sito; p-przestrzeń; Lindelöf; parazwarta i normalna przestrzeń

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2010
• Tom: Vol. 16, nr 1
• Strony: 151--169
• Opis fizyczny: Bibliogr. 46 poz.

Twórcy

autor

Holá L`.

autor

Zsilinszky L.

• Academy of Sciences, Institute of Mathematics, Štefánikova 49, 81473 Bratislava, Slovakia,

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