Lindelöf ∑-Property in Cp(X) and p(Cp(X)) = ω do not imply countable network weight in X

Acta Mathematica Hungarica

Volumn 89, Issue 1-2, 2000, Pages 119-132

  Okunev, O G ^a   Tkachuk, V V ^b  

^a UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

^b UNIVERSIDAD AUTÓNOMA METROPOLITANA   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 26444614237     PISSN: 02365294     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. A. V. Arhangel'skiǐ, Factorization theorems and function spaces: stability and monolithicity, Soviet Math. Dokl, 26 (1982), 177-181.
2. A. V. Arhangel'skiǐ, On linear homeomorphisms of function spaces, Soviet Math. Dokl., 25 (1982), 852-855.
3. A. V. Arhangel'skiǐ, Topological Function Spaces, Kluwer Acad. Publ. (Dordrecht, 1992).
4. p-theory, in: Recent Progress in General Topology, M. Husek and J. van Mill (eds.), Elsevier S.P.(1992), pp. 1-56.
5. p(X) and some questions of S. Gul'ko and M. Hušek, Topology Appl., 23 (1986), 65-73.
6. D. P. Baturov, On subspaces of function spaces, Moscow Univ. Math. Bull., 43 (1987), 75-78.
7. R. Engelking, General Topology, PWN (Warszawa, 1977).
8. R. Engelking, On the double circumference of Alexandroff, Bull. Acad. Pol. Sci. Ser. Astron. Math. Phys., 16 (1968), 629-634.
9. S. P. Gul'ko, On the structure of the spaces of continuous functions and their hereditary paracompactness, Uspehi Matem. Nauk, 34 (1979), 33-40 (in Russian).
10. A. V. Ivanov, On bicompacta all finite powers of which are hereditarily separable, Soviet Math. Dokl, 19 (1978), 1470-1473.
11. K. Nagami, ∑-spaces, Fund. Math., 65 (1969), 169-192.
12. O. G. Okunev, On properties close to compactness of spaces of functions with the topology of pointwise convergence, Bull. Acad. Sci. Georgian SSR, 134 (1989), 473-475 (in Russian).
13. O. G. Okunev, On Lindelöf ∑-spaces of continuous functions in the pointwise topology, Topology Appl., 49 (1993), 149-166.
14. O. G. Okunev and K. Tamano, Lindelöf powers and products of function spaces, Proc. Amer. Math. Soc., 124 (1996), 2905-2916.
15. V. V. Tkachuk, On a method of constructing examples of M-equivalent spaces, Russian Math. Surveys, 38 (1983), 135-136.
16. V. V. Tkachuk, On cardinal invariants of Souslin number type, Soviet Math., Dokl., 27 (1983), 681-684.
17. Ph. Zenor, Hereditary m-separability and the hereditary m-Lindelöf property in product spaces and function spaces, Fund. Math., 106, (1980), 175-180.