Remainders in compactifications of topological groups |
| |
Authors: | Chuan Liu |
| |
Institution: | Department of Mathematics, Ohio University-Zanesville, Ohio, OH 43701, USA |
| |
Abstract: | In this paper, we consider the following question: when does a topological group G have a Hausdorff compactification bG with a remainder belonging to a given class of spaces? We extend the results of A.V. Arhangel'skii by showing that if a remainder of a non-locally compact topological group G has a countable open point-network or a locally Gδ-diagonal, then G and the compactification bG of G are separable and metrizable. |
| |
Keywords: | primary 54A25 secondary 54B05 |
本文献已被 ScienceDirect 等数据库收录! |
|