On the completeness properties of the C-compact-open topology on C(X)

被引：0

作者：

Osipov, A. V. ^{[1
,2
]}

机构：

[1] Ural Fed Univ, Russian Acad Sci, Inst Math & Mech, Ural Branch, Ekaterinburg, Russia

[2] Ural Fed Univ, Russian Acad Sci, Inst Math & Mech, Ural Branch,Physicomath Sci, Ekaterinburg, Russia

来源：

TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN | 2012年 / 18卷 / 02期

关键词：

C-compact-open topology; set-open topology; Cech completeness; Baire space; function space;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The completeness properties of the space C-rc(X) of all continuous real-valued functions on a Tikhonov space X are studied, where the function space has the C-compact-open topology. The properties of complete metrizability, Cech completeness, pseudocompleteness, and almost. Cech-completeness are investigated.

引用

页码：191 / 198

页数：8

共 50 条

[31] Stability of completeness for systems of exponentials on compact convex sets in C
Khabibullin, BN
MATHEMATICAL NOTES, 2002, 72 (3-4) : 542 - 550
[32] SEQUENTIAL COMPACTNESS OF X IMPLIES A COMPLETENESS PROPERTY FOR C(X)
RAJAGOPALAN, M
WHEELER, RF
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1976, 28 (01): : 207 - 210
[33] Sequential properties of function spaces with the compact-open topology
Gruenhage, Gary
Tsaban, Boaz
Zdomskyy, Lyubomyr
TOPOLOGY AND ITS APPLICATIONS, 2011, 158 (03) : 387 - 391
[34] Compactness, connectedness and Countability properties of C(X) with the r-topology
Azarpanah, F.
Paimann, M.
Salehi, A. R.
ACTA MATHEMATICA HUNGARICA, 2015, 146 (02) : 265 - 284
[35] Compactness, connectedness and Countability properties of C(X) with the r-topology
F. Azarpanah
M. Paimann
A. R. Salehi
Acta Mathematica Hungarica, 2015, 146 : 265 - 284
[36] The regular topology on C(X, Y)
Jindal, A.
Jindal, V.
ACTA MATHEMATICA HUNGARICA, 2019, 158 (01) : 1 - 16
[37] The regular topology on C(X, Y)
A. Jindal
V. Jindal
Acta Mathematica Hungarica, 2019, 158 : 1 - 16
[38] THE τc-TOPOLOGY ON LOCALLY COMPACT FOUNDATION SEMIGROUPS
Ghaffari, Ali
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2009, 46 (01) : 25 - 35
[39] On weakly compact sets in C (X)
Ferrando, J. C.
Lopez-Alfonso, S.
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2021, 115 (02)
[40] COMPACT WEIGHTED ENDOMORPHISMS OF C(X)
KAMOWITZ, H
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1981, 83 (03) : 517 - 521

← 1 2 3 4 5 →