Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Compact-covering maps and $k$-networks

Author: Huaipeng Chen
Journal: Proc. Amer. Math. Soc. 131 (2003), 2623-2632
MSC (1991): Primary 54C10, 54G20; Secondary 04A15
Published electronically: November 13, 2002
MathSciNet review: 1974664
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: In this paper, we show a characterization of compact-covering $s$-images of metric spaces and prove a theorem about them. Also we give a set theoretical assumption and under the assumption construct a counterexample which gives a negative answer to some questions.

References [Enhancements On Off] (What's this?)

  • 1. H. Chen, Weak neighborhoods and Michael-Nagami's question, Houston Jour. of Math., 25(1999), 297-309. MR 2000d:54015
  • 2. L. Foged, Point-countable bases and $k$-networks, Topology Appl., 69(1996), 101-114. MR 97b:54036
  • 3. G. Gruenhage, E. Michael and Y. Tanaka. Spaces determined by point-countable covers, Pacific J. Math., 113(1984), 303-332. MR 85m:54018
  • 4. T. Hoshina, On the quotient $s$-images of metric spaces, Sci. Rep. Tokyo Kyoiku Daigaku Sect. A. 10(1970) 265-268. MR 43:1115
  • 5. S. Lin and C. Liu, On spaces with point-countable $cs$-networks, Topology Appl., 74(1996), 51-60. MR 98a:54010
  • 6. C. Liu, and M. Dai, The compact-covering s-images of metric spaces, (Chinese) Acta Mathematica Sinica, 39(1996), 41-44.
  • 7. S. Lin, On spaces with a $k$-network consisting of compact subsets, Top. Proc., Vol. 20,(1995), 185-190.
  • 8. Z. Li and J. Li, On Michael-Nagami's problem, Q and A in General Topology, 12(1994), 85-91. MR 95g:54025
  • 9. E. Michael, Personal Letter.
  • 10. E. Michael, Some problems, Open Problems in Topology, North-Holland, 1990, 273-278.
  • 11. E. Michael and K. Nagami, Compact-covering images of metric spaces, Proc. Amer. Math. Soc., 37(1973), 260-266. MR 46:6269
  • 12. A. W. Miller, Special subsets of the real line, Handbook of Set-theoretic Topology (K. Kunen and J. E. Vaughan eds.), North-Holland, Amsterdam, 1984. MR 86i:54037
  • 13. M. E. Rudin, Lecture on set theoretic topology, Conference Board of the Mathematical Sciences, Regional Conference Series in Mathematics no. 23. MR 51:4128
  • 14. PROBLEM SECTION in topology proceedings, Volume 20, 1995.

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 54C10, 54G20, 04A15

Retrieve articles in all journals with MSC (1991): 54C10, 54G20, 04A15

Additional Information

Huaipeng Chen
Affiliation: Department of Mathematics, Nankai University, Tianjin 300071, People’s Republic of China

PII: S 0002-9939(02)06768-0
Keywords: $k$-networks, compact-covering maps, $\sigma '$-sets
Received by editor(s): January 25, 2000
Received by editor(s) in revised form: March 25, 2002
Published electronically: November 13, 2002
Additional Notes: This work was supported by The Project-sponsored by SRF for ROCS, SEM
Communicated by: Alan Dow
Article copyright: © Copyright 2002 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia