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並列摘要


This study extends the notion of regularity series from convergence spaces to Cauchy spaces, and includes an investigation of related topics such as that T_2 and T_3 modifications of a Cauchy space and their behavior relative to certain types of quotient maps. These concepts are applied to obtain a new characterization of Cauchy spaces which have T_3 completions.

延伸閱讀


  • KENT, D. C., & VAINIO, R. (1987). ORDER COMPATIBILITY FOR CAUCHY SPACES AND CONVERGENCE SPACES. International Journal of Mathematics and Mathematical Sciences, 1987(), 209-216. https://doi.org/10.1155/S0161171287000279
  • Colebunders, E. L. (1982). UNIFORMIZABLE CAUCHY SPACES. International Journal of Mathematics and Mathematical Sciences, 1982(), 513-527. https://doi.org/10.1155/S0161171282000489
  • 蔡斐名(1999)。The higher order Cauchy problem〔碩士論文,國立臺灣師範大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0021-2603200719101940
  • ELHOUCIEN, E., & AKKOUCHI, M. (2004). ON CAUCHY-TYPE FUNCTIONAL EQUATIONS. International Journal of Mathematics and Mathematical Sciences, 2004(), 847-859-057. https://doi.org/10.1155/S0161171204304254
  • 洪誠宏 (2007). The Cauchy Problem and Related Applications [doctoral dissertation, National Taiwan Normal University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0021-2910200810551395