| Title:
|
A note on the non-emptiness of the limit of approximate systems (English) |
| Author:
|
Charalambous, M. G. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
37 |
| Issue:
|
1 |
| Year:
|
1996 |
| Pages:
|
155-157 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Short proofs of the fact that the limit space of a non-gauged approximate system of non-empty compact uniform spaces is non-empty and of two related results are given. (English) |
| Keyword:
|
inverse systems |
| Keyword:
|
approximate inverse systems |
| Keyword:
|
compact and uniform spaces |
| MSC:
|
54B35 |
| MSC:
|
54E15 |
| idZBL:
|
Zbl 0855.54016 |
| idMR:
|
MR1396167 |
| . |
| Date available:
|
2009-01-08T18:22:39Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118819 |
| . |
| Reference:
|
[1] Charalambous M.G.: Approximate inverse systems of uniform spaces and an application of inverse systems.Comment. Math. Univ. Carolinae 32 (1991), 551-565. Zbl 0785.54016, MR 1159801 |
| Reference:
|
[2] Mardešić S.: On approximate inverse systems and resolutions.Fund. Math. 142 (1993), 241-255. MR 1220551 |
| Reference:
|
[3] Mardešić S., Rubin L.R.: Approximate inverse systems of compacta and covering dimension.Pacific J. Math. 138 (1989), 129-144. MR 0992178 |
| Reference:
|
[4] Mardešić S., Segal J.: $\Cal P$-like continua and approximate inverse systems.Math. Japonica 33 (1988), 895-908. MR 0975869 |
| Reference:
|
[5] Mardešić S., Watanabe T.: Approximate resolutions of spaces and mappings.Glas. Mat. 24 (1989), 583-633. MR 1080085 |
| . |