| Автор | Magill, K. D. |
| Автор | Glasenapp, J. A. |
| Дата выпуска | 1968 |
| dc.description | A subset of a topological space which is both closed and open is referred to as a clopen subset. Here, a 0-dimensional space is a Hausdorff space which has a basis of clopen sets. Here, a 0-dimensional space is a Hausdorff space which has a basis of clopen sets. By a compactification αX of a completely regular Hausdorff space X, we mean any compact space which contains X as a dense subspace. Two compactifications αX and γX are regarded as being equivalent if there exists a homeomorphism from αX onto γX which keeps X pointwise fixed. We will not distinguish between equivalent compactifications. With this convention, we can partially order any family of compactifications of X by defining αX ≧ γX if there exists a continuous mapping from γX onto αX which leaves X pointwise fixed. This paper is concerned with the study of the partially ordered family [X] of all 0-dimensional compactifications of a 0-dimensional space X. |
| Формат | application.pdf |
| Издатель | Cambridge University Press |
| Копирайт | Copyright © Australian Mathematical Society 1968 |
| Название | 0-dimensional compactifications and Boolean rings |
| Тип | research-article |
| DOI | 10.1017/S1446788700006571 |
| Electronic ISSN | 1446-8107 |
| Print ISSN | 1446-7887 |
| Журнал | Journal of the Australian Mathematical Society |
| Том | 8 |
| Первая страница | 755 |
| Последняя страница | 765 |
| Аффилиация | Magill K. D.; State University of New York |
| Аффилиация | Glasenapp J. A.; Rochester Institute of Technology |
| Выпуск | 4 |
