Compact-covering maps and -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

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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper, we show a characterization of compact-covering -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.

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Additional Information

**Huaipeng Chen**

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

Email:
hpchen@nankai.edu.cn

DOI:
http://dx.doi.org/10.1090/S0002-9939-02-06768-0

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