An improvement of the Arzela-Ascoli theorem

作者：Li Ronglu^*; Zhong Shuhui; Swartz C

来源：Topology and Its Applications, 2012, 159(8): 2058-2061.

DOI：10.1016/j.topol.2012.01.014

• Pseudocompact
• Almost compact space
• Equicontinuity

For the classical Arzela-Ascoli theorem and its typical modern formulation, we have improved the sufficiency part by weakening the compactness of the domain space, and the necessity part is improved by strengthening the necessity part of the classical version.

• 出版日期2012-5-15
• 单位哈尔滨工业大学; 天津大学