Function spaces

Topology and its Applications

Volumn 81, Issue 1, 1997, Pages 1-22

  Valov, Vesko ^a  

^a UNIVERSITY OF SWAZILAND   (Swaziland)

Author keywords

Bounded sets; Function spaces; Linear homeomorphisms; Supports; Z analytic spaces

Indexed keywords

EID: 0039714004     PISSN: 0016660X     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0166-8641(97)00017-5     Document Type: Article

References (22)

1. A. Arkhangel'skiǐ, On linear homeomorphisms of function spaces, Soviet Math. Dokl. 25 (1982) 852-855.
2. p-theory, in: M. Husek and J. van Mill, eds., Recent Progress in General Topology (Elsevier, Amsterdam, 1992) 1-56.
3. A. Arkhangel'skiǐ, Topological Function Spaces (Kluwer, Dordrecht, 1992).
4. p-theory, Questions Answers Gen. Topology 5 (1987) 1-109.
5. J. Baars, A note on linear mappings between function spaces. Comment. Math. Univ. Carolin. 34(4) (1993) 711-715.
6. J. Baars and J. de Groot, On Topological and Linear Equivalence of Certain Function Spaces, CWI Tracts 86 (Centrum Wisk. Inform., Amsterdam, 1992).
7. J. Baars, J. de Groot and J. Pelant, Function spaces of completely metrizable spaces, Trans. Amer. Math. Soc. 340(2) (1993) 871-879.
8. G. Choquet, Lectures on Analysis, Vol. I (Benjamin, New York, 1969).
9. J. Diedonné, Sur les espaces uniformes completes, Ann. Sci. École Norm. Sup. 56 (1939) 277-291.
10. J. Dugundji, An extension of Tietze's theorem, Pacific J. Math. 1 (1951) 353-367.
11. R. Engelking, General Topology (PWN, Warszawa, 1977).
12. S. Gul'ko and O. Okunev, Local compactness and M-equivalence, in: A.V. Ivanov et al., eds., Questions of Geometry and Topology (Petrozavodsk State University, Petrozavodsk, 1986) 14-23 (in Russian).
13. S.T. Hu, Theory of Retracts (Wayne State Univ. Press, Detroit, 1965).
14. J. Jayne and C. Rogers, Analytic Sets (Academic Press, London, 1980).
15. Y. Mibu, On Baire functions on infinite product spaces, Proc. Imp. Acad. Tokyo 20 (1944) 661-663.
16. E. Michael, A quintuple quotient quest, Gen. Topology Appl. 2 (1972) 91-138.
17. R. McCoy and I. Ntantu, Topological Properties of Spaces of Continuous Functions, Lecture Notes in Math. 1315 (Springer, Berlin, 1988).
18. R. McCoy and I. Ntantu, Completeness properties of function spaces, Topology Appl. 22 (1986) 191-206.
19. K. Morishita, The minimal support for a continuous functional on a function space II, Tsukuba J. Math. 16(2) (1992) 495-501.
20. K. Nagami, ∑-spaces, Fund. Math. 65(2) (1969) 169-192.
21. O. Okunev, Weak topology of an associated space and t-equivalence, Math. Notes 46(1-2) (1990) 534-538.
22. V. Uspenskiǐ, On the topology of a free locally convex space, Soviet Math. Dokl. 27 (1983) 781-785.