Atsuji completions: Equivalent characterisations |
| |
Authors: | Tanvi Jain S Kundu |
| |
Institution: | Department of Mathematics, Indian Institute of Technology, Delhi, New Delhi 110016, India |
| |
Abstract: | A metric space (X,d) is called an Atsuji space if every real-valued continuous function on (X,d) is uniformly continuous. It is well known that an Atsuji space must be complete. A metric space (X,d) is said to have an Atsuji completion if its completion is an Atsuji space. In this paper, we study twenty-nine equivalent characterisations for a metric space to have an Atsuji completion. |
| |
Keywords: | 54C05 54E40 54E50 54E99 |
本文献已被 ScienceDirect 等数据库收录! |
|