It is proved in this paper that(1) the topological sum of a family of supercomplete spaces is supercomplete;(2) if X is a metacompact and almost locally compact space then X is supercomplete. Moreover, some questions ...It is proved in this paper that(1) the topological sum of a family of supercomplete spaces is supercomplete;(2) if X is a metacompact and almost locally compact space then X is supercomplete. Moreover, some questions on supercomplete spaces are posed in the paper.展开更多
Many remarkable results in this field have been established by Mordell, Daven- port, Hua, Min, Weil-Carlitz-Uchiyama and Vinogradov. Among them, the following general estimate for complete trigonometric sums due to Pr...Many remarkable results in this field have been established by Mordell, Daven- port, Hua, Min, Weil-Carlitz-Uchiyama and Vinogradov. Among them, the following general estimate for complete trigonometric sums due to Prof. Hua is a world wide famous result in number theory.展开更多
基金Supported by the National Natural Science Foundation of China(11201414,11571158,11171162)Supported by the Natural Science Foundation of Fujian Province(2012J05013)Supported by the Training Programme Foundation for Excellent Youth Researching Talents of Fujian's Universities(JA13190)
文摘It is proved in this paper that(1) the topological sum of a family of supercomplete spaces is supercomplete;(2) if X is a metacompact and almost locally compact space then X is supercomplete. Moreover, some questions on supercomplete spaces are posed in the paper.
文摘Many remarkable results in this field have been established by Mordell, Daven- port, Hua, Min, Weil-Carlitz-Uchiyama and Vinogradov. Among them, the following general estimate for complete trigonometric sums due to Prof. Hua is a world wide famous result in number theory.
