The one-point Lindelöfication of an uncountable discrete space can be surlindelöf

• Autorzy: Oleg Okunev
• Języki publikacji: EN

Abstrakty

EN

We prove that the one-point Lindelöfication of a discrete space of cardinality ω 1 is homeomorphic to a subspace of C p (X) for some hereditarily Lindelöf space X if the axiom [...] holds.

Słowa kluczowe

EN

Topology of pointwise convergence; The axiom; Lindelöf spaces

Kategorie tematyczne

• 54C35: Function spaces
• 54D20: Noncompact covering properties (paracompact, Lindel\"of, etc.)
• 54A35: Consistency and independence results

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2013
• Tom: 11
• Numer: 10
• Strony: 1750-1754

Daty

wydano

2013-10-01

online

2013-07-20

Twórcy

autor

Oleg Okunev

• Facultad de Ciencias Físico-Matemáticas, Benemérita Universidad Autónoma de Puebla, Av. San Claudio y Rio Verde s/n, col. San Manuel, Ciudad Universitaria, Puebla, Pue., CP 72570, México

Bibliografia

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• [4] Arhangel’skii A.V., Uspenskii V.V., On the cardinality of Lindelöf subspaces of function spaces, Comment. Math. Univ. Carolin., 1986, 27(4), 673–676
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• [6] Fremlin D.H., Consequences of Martin’s Axiom, Cambridge Tracts in Math., 84, Cambridge University Press, Cambridge, 1984 http://dx.doi.org/10.1017/CBO9780511896972[Crossref]
• [7] Fuchino S., Shelah S., Soukup L., Sticks and clubs, Ann. Pure Appl. Logic, 1997, 90(1–3), 57–77 http://dx.doi.org/10.1016/S0168-0072(97)00030-4[Crossref]

Identyfikatory

DOI

10.2478/s11533-013-0279-8