|
|||||
|
|
Cauchy Complete Nearness Spaces |
|
| Authors: | Sung Sa Hong Young Kyoung Kim |
| Institution: | (1) Department of Mathematics, Sogang University, Seoul, 121-742, Korea e-mail |
| Abstract: | A nearness space is Cauchy complete if every regular Cauchy filter on the space is convergent. We show that the category CCNear 2 of Cauchy complete N 2 spaces is reflective in the category Near 2 C of N 2-spaces and Cauchy maps and that the reflection of an N 2-space is given by the strict extension associated with regular Cauchy filters on the space. |
| Keywords: | nearness spaces regular Cauchy filters Cauchy complete nearness spaces Cauchy completions of nearness spaces Cauchy maps |
| 本文献已被 SpringerLink 等数据库收录！ | |