Behaviour of the Lindelöf Σ-property in iterated function spaces

Topology and its Applications

Volumn 107, Issue 3, 2000, Pages 297-305

  Tkachuk, V V ^a  

^a DEPARTAMENTO DE QUÍMICA   (Mexico)

Author keywords

Hewitt realcompactification; Iterated function space; Lindel f space; Pointwise convergence topology

Indexed keywords

EID: 15944407727     PISSN: 0016660X     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0166-8641(99)00112-1     Document Type: Article

References (11)

1. A.V. Arhangel'skiǐ, C p-theory, in: Recent Progress in General Topology, Elsevier Science Publishers, 1992, pp. 1-56.
2. A.V. Arhangel'skiǐ, Topological Function Spaces, Mathematics and Its Applications 78, Kluwer Academic Publishers, Dordrecht, 1992.
3. D.P. Baturov, On subspaces of function spaces, Vestnik Moskov. Univ., Mat. Mech. (4) (1987) 66-69 (in Russian).
4. R. Engelking, General Topology, PWN, Warszawa, 1977.
5. O.G. Okunev, On Lindelöf Σ-spaces of continuous functions in the pointwise topology, Topology Appl. 49 (2) (1993) 149-166.
6. O.G. Okunev, On compactness-like properties of function spaces endowed with the topology of pointwise convergence, Bull. Acad. Sci. Georgian SSR 134 (3) (1989) 473-475 (in Russian).
7. O.G. Okunev, On function spaces with the topology of pointwise convergence: Hewitt extension and τ-continuous functions (in Russian), Vestnik Moskov. Univ., Mat. Mech. 4 (1985) 78-80.
8. O.G. Okunev, Hewitt extensions and function spaces, in: Cardinal Invariants and Mappings of Topological Spaces, Udmurtia University Publishing House, Izhevsk, 1984, pp. 77-78 (in Russian).
9. p(X) σ-countably compact?, Vestnik Moskov. Univ. Mat. 41(1) (1986) 70-72.
10. O.V. Sipacheva, Structure of iterated function spaces with the topology of pointwise convergence for Eberlein compacta, Mat. Zametki 47 (3) (1990) 91-99 (in Russian).
11. p(X): Decomposition into a countable union of bounded subspaces and completeness properties, Topology Appl. 22 (3) (1986) 241-254.