| Title:
|
Hausdorff completions of quasi-uniform spaces (English) |
| Author:
|
Render, Hermann |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
46 |
| Issue:
|
2 |
| Year:
|
1996 |
| Pages:
|
309-316 |
| . |
| Category:
|
math |
| . |
| MSC:
|
54D35 |
| MSC:
|
54E15 |
| MSC:
|
54E50 |
| idZBL:
|
Zbl 0870.54029 |
| idMR:
|
MR1388618 |
| DOI:
|
10.21136/CMJ.1996.127292 |
| . |
| Date available:
|
2009-09-24T09:56:48Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127292 |
| . |
| Reference:
|
[1] J. W. Carlson and T. L. Hicks: On completeness in quasi-uniform spaces.J. Math. Anal. Appl. 34 (1971), 618–627. MR 0281149, 10.1016/0022-247X(71)90101-6 |
| Reference:
|
[2] D. Doitchinov: A concept of completeness of quasi-uniform spaces.Topology Appl. 38 (1991), 205–217. Zbl 0723.54030, MR 1098901, 10.1016/0166-8641(91)90086-2 |
| Reference:
|
[3] P. Fletcher and W. Hunsaker: Symmetry conditions in terms of open sets.Topology Appl. 45 (1992), 39–47. MR 1169075, 10.1016/0166-8641(92)90060-D |
| Reference:
|
[4] P. Fletcher and W. Hunsaker: Uniformly regular quasi-uniformities.Topology Appl. 37 (1990), 285–291. MR 1082939, 10.1016/0166-8641(90)90027-Y |
| Reference:
|
[5] P. Fletcher and W. Hunsaker: Completeness using pairs of filters.Topology Appl. 44 (1992), 149–155. MR 1173251, 10.1016/0166-8641(92)90087-G |
| Reference:
|
[6] P. Fletcher and W. F. Lindgren: ARRAY(0x8751d08).New York, 1982. |
| Reference:
|
[7] P. Fletcher and W. F. Lindgren: Compactifications of totally bounded quasi-uniform spaces.Glasgow Math. J. 28 (1986), 31–36. MR 0826624, 10.1017/S0017089500006303 |
| Reference:
|
[8] P. Fletcher and W. F. Lingren: $C$-complete quasi-uniform spaces.Arch. Math. 30 (1978), 175–180. MR 0474216, 10.1007/BF01226037 |
| Reference:
|
[9] P. Fletcher and W. F. Lindgren: A construction of the pair completion of a quasi-uniform space.Canad. Math. Bull. 21 (1978), 53–59. MR 0487983, 10.4153/CMB-1978-009-2 |
| Reference:
|
[10] H.-P. Künzi: A regular space without a uniformly regular quasi-uniformity.Monatshefte Math. 110 (1990), 115–116. MR 1076326, 10.1007/BF01302780 |
| Reference:
|
[11] H.-P. Künzi: Nonsymmetric topology.Szekszárd, Hungary, to appear. MR 1374814 |
| Reference:
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[12] H.-P. Künzi and P. Fletcher: Extension properties induced by complete quasi-uniformities.Pacific J. Math. 120 (1985), 357–384. MR 0810777, 10.2140/pjm.1985.120.357 |
| Reference:
|
[13] H.-P. Künzi, M. Mrševic, I. L. Reilly, M. K. Vamanamurthy: Convergence, precompactness and symmetry in quasi-uniform spaces.Math. Japonica 47 (1992), 35–52. |
| Reference:
|
[14] H. Render: Nonstandard methods of completing quasi-uniform spaces.Topology Appl. 62 (1995), 101–125. Zbl 0816.54021, MR 1320246, 10.1016/0166-8641(94)00052-5 |
| Reference:
|
[15] H. Render: Generalized uniform spaces and Applications to function spaces.Submitted. Zbl 0909.54023 |
| Reference:
|
[16] S. Salbany and T. Todorov: Nonstandard and standard compactifications of ordered topological spaces.Topology Appl. 47 (1992), 35–52. MR 1189991, 10.1016/0166-8641(92)90113-E |
| Reference:
|
[17] M. B. Smyth: Stable compactification I.J. London Math. Soc. 45 (1992), 321–340. Zbl 0760.54018, MR 1171559, 10.1112/jlms/s2-45.2.321 |
| Reference:
|
[18] A. J. Ward: A generalization of almost compactness, with an associated generalization of completeness.Czechoslovak Math. J. 25 (100) (1975), 514–530. MR 0391029 |
| . |
