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Notes on symmetric g-functions
Authors:K Li  S Lin
Institution:(1) Department of Mathematics, Zhangzhou Normal University, Zhangzhou, 363000, P. R. China;(2) Institute of Mathematics, Ningde Teachers’ College, Ningde, 352100, P. R. China
Abstract:A number of generalized metric spaces have been defined or characterized in terms of g-functions. Symmetric g-functions are discussed by C. Good, D. Jennings and A. M. Mohamad. In this paper, some questions about symmetric g-functions are answered, particularly it is shown that every sym-wg-space is expandable. The project is supported by the NNSF (10571151) and NSF (2006J0397) of Fujian Province of China.
Keywords:symmetric g-functions  sym-wg-spaces  expandable spaces            G          δ  -diagonals
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