Near metric properties of function spaces

Fundamenta Mathematicae

Volumn 164, Issue 2, 2000, Pages 97-114

  Gartside, P M ^a   Reznichenko, E A ^b  

^a MERTON COLLEGE   (United Kingdom)

^b MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

Cometrisable; Compact open topology; Function space; Pointwise topology; Stratifiable

Indexed keywords

EID: 0039016040     PISSN: 00162736     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

1. C. R. Borges, On stratifiable spaces, Pacific J. Math. 17 (1966), 1-16.
2. R. E. Buck, Some weaker monotone separation and basis properties, Topology Appl. 69 (1996), 1-12.
3. P. J. Collins and A. W. Roscoe, Criteria for metrisability, Proc. Amer. Math. Soc. 90 (1984), 631-640.
4. J. Dugundji, An extension of Tietze's theorem, Pacific J. Math. 1 (1951), 353-367.
5. S. Fisher, P. M. Gartside, T. Mizokami and N. Shimane, Near metric properties of hyperspaces, Topology Proc. 22 (1997), 197-211.
6. P. M. Gartside, Non-stratifiability of topological vector spaces, Topology Appl. 86 (1998), 133-140.
7. G. Gruenhage, Generalized metric spaces, in: Handbook of Set-Theoretic Topology, North-Holland, 1984, 423-503.
8. _, Generalized metric spaces and metrization, in: Recent Progress in General Topology, North-Holland, 1992, 239-263.
9. _, Cosmicity of cometrizable spaces, Trans. Amer. Math. Soc. 313 (1989), 301-315.
10. 3 space, Proc. Amer. Math. Soc. 17 (1966), 868-870.
11. K. Kunen and J. E. Vaughan, Handbook of Set-Theoretic Topology, North Holland, 1984.
12. R. A. McCoy and I. Ntantu, Topological Properties of Spaces of Continuous Functions, Lecture Notes in Math. 1315, Springer, 1988.
13. P. J. Nyikos and S. Purisch, Monotone normality and paracompactness in scattered spaces, in: Papers in General Topology and Related Category Theory and Topological Algebra, Ann. New York Acad. Sci. 552, New York Acad. Sci., 1989, 124-137.
14. S. A. Shkarin, preprint.
15. M. G. Tkachenko, Factorization theorems for topological groups and their applications, Topology Appl. 38 (1991), 21-37.
16. V. V. Uspenskiǐ, On the topology of a free locally convex space, Dokl. Akad. Nauk SSSR 270 (1983), 1334-1337.