Weak neighborhoods and Michael-Nagami's question

Houston Journal of Mathematics

Volumn 25, Issue 2, 1999, Pages 297-309

  Chen, Huaipeng ^a  

^a UNIVERSITY OF TSUKUBA   (Japan)

Author keywords

Compact covering; k space; Quotient s map; Weak neighborhood

Indexed keywords

EID: 0037481381     PISSN: 03621588     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (22)

1. A. V. Arhangel'skiǐ, Mappings and spaces, Russian Math. Surveys, 21(1966), 115-162.
2. L. Foged, Point-countable bases and k-networks, Topology Appl., 69(1996), 101-104.
3. S. P. Franklin, Spaces in which sequences suffice II, Fund. Math., 61(1967), 51-56.
4. G. Gruenhage, E. Michael and Y. Tanaka, Spaces determined by point-countable covers, Pacific J. Math., 113(1984), 303-332.
5. G. Gruenhage, Generalized metric space, Handbook of Set-theoretic Topology, North-Holland, 1984, 423-501.
6. Z. Gao, Some remarks on the spaces with a σ-closure preserving weak-base, Math. Japonica, 37, 2(1992), 323-328.
7. T. Hoshina, On the quotient s-images of metric spaces, Sci. Rep. Tokyo KyoikuDaigaku Sect. A, 10(1970), 265-268.
8. S. Lin, A note on the Arens' space and sequential fan, Topology Appl., 81(1997), 185-196.
9. S. Lin, A note on Michael-Nagami problem, (Chinese) Chinese ann. Math., Ser A, 17(1996), no. 9-12.
10. S. Lin and C. Liu, On spaces with point-countable cs-networks, Topology Appl., 74(1996), 51-60.
11. C. Liu and M. Dai, The compact-covering s-images of metric spaces, (Chinese) Acta Mathematica Sinica, 39(1996), 41-44.
12. Z. Li and J. Li, On Michael-Nagami's problem, Q and A in General Topology, 12(1994), 85-91.
13. E. Michael and K. Nagami, Compact-covering images of metric spaces, Proc. Amer. Math. Soc., 37(1973), 260-266.
14. E. Michael, A quintuple quotient quest, Gen. Topology and Appl., 2(1972), 91-138.
15. E. Michael, Some problems, Open Problems in Topology, North-Holland, 1990, 273-278.
16. M. E. Rudin, Lecture on set theoretic topology, Conference Board of the Mathematical Sciences, Regional Conference Series in Mathematics, no. 23.
17. F. Siwiec, Sequence-covering and countably bi-quotient mappings. Gen. Topology and Appl., 1(1971), 143-154.
18. F. Siwiec, on defining a space by a weak base, Pacific J. Math., 52(1974), 233-245.
19. F. Siwiec, Generalizations of the first axiom of countability, Rocky Mountain J. Math., 5(1975), 1-60.
20. Y. Tanaka, Metrizability of certain quotient spaces, Fund. Math., CXIX(1983), 157-168.
21. Y. Tanaka, Space determined by metric subsets, Q and A in General Topology, 5(1987), 173-187.
22. Z. Yun, On point-countable closed k-network, Q and A in General Topology, 7(1989), 139-140.