Title
|
|
|
|
A Wallman-Shanin-type compactification for approach spaces
| |
Author
|
|
|
|
| |
Abstract
|
|
|
|
In [11] a Cech-Stone-type compactification theory was developed for UAP(2). In this paper we construct a Wallman-Shanin-type compactification theory for weakly symmetric T-1 approach spaces which form a full subcategory of AP properly containing UAP(2). For a weakly symmetric ii approach space, we also investigate the relation between the topological bicoreflection of its Wallman-type compactification and the classical Wallman compactification of its topological bicoreflection, and we show that our theory extends the classical topological Wallman compactification theory. It is shown in [14] that our present theory also extends the Cech-Stone-type theory from [11]. |
| |
Language
|
|
|
|
English
| |
Source (journal)
|
|
|
|
The Rocky Mountain journal of mathematics. - Provo, Utah
| |
Publication
|
|
|
|
Provo, Utah
:
2000
| |
ISSN
|
|
|
|
0035-7596
| |
DOI
|
|
|
|
10.1216/RMJM/1021477356
| |
Volume/pages
|
|
|
|
30
:4
(2000)
, p. 1381-1419
| |
ISI
|
|
|
|
000166996100011
| |
Full text (Publisher's DOI)
|
|
|
|
| |
Full text (open access)
|
|
|
|
| |
|