| Title:
|
On almost complete and almost precompact quasi-uniform spaces (English) |
| Author:
|
Fletcher, Peter |
| Author:
|
Naimpally, S. A. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
21 |
| Issue:
|
3 |
| Year:
|
1971 |
| Pages:
|
383-390 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| MSC:
|
54.30 |
| idZBL:
|
Zbl 0218.54019 |
| idMR:
|
MR0287504 |
| DOI:
|
10.21136/CMJ.1971.101038 |
| . |
| Date available:
|
2008-06-09T13:52:26Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101038 |
| . |
| Reference:
|
[1] С. Barnhill, P. Fletcher: Topological spaces with a unique compatible quasi-uniform structure.Archiv der Mathematik 21 (1970), 206-209. Zbl 0198.27701, MR 0271903, 10.1007/BF01220904 |
| Reference:
|
[2] С. Chevally, О. Frink: Bicompactness of Cartesian products.Bull. Amer. Math. Soc. 47 (1941), 612-614. MR 0004760, 10.1090/S0002-9904-1941-07522-1 |
| Reference:
|
[3] P. Fletcher: On completeness of quasi-uniform spaces.Archiv der Mathematik, to appear. Zbl 0218.54018, MR 0305359 |
| Reference:
|
[4] Z. Frolík: A generalization of realcompact spaces.Czech. Math. Journ. 13 (1963), 127-137. MR 0155289 |
| Reference:
|
[5] Z. Frolík, C. T. Liu: An embedding characterization of almost realcompact spaces.submitted for publication. |
| Reference:
|
[6] I. S. Gál: Compact topological space.Amer. Math. Monthly 68 (1961), 300-301. |
| Reference:
|
[7] E. Hewitt: Rings of real-valued continuous functions.I, Trans. Amer. Math. Soc. 64 (1948), 45-99. Zbl 0032.28603, MR 0026239, 10.1090/S0002-9947-1948-0026239-9 |
| Reference:
|
[8] M. Katětov: Über $H$-abgeschlossene und bikompakte Raume.Čas. pěst. mat. 69 (1940), 36-49. MR 0001912 |
| Reference:
|
[9] V. S. Krishnan: A note on semi uniform spaces.J. Madras Univ., В 25 (1955), 123-124. Zbl 0065.15702, MR 0070992 |
| Reference:
|
[10] С. T. Liu: The $\alpha$-closure $\alpha X$ of a topological space $X$.Proc. Amer. Math. Soc. 22 (1969), 620-624. Zbl 0191.21301, MR 0244949, 10.1090/S0002-9939-1969-0244949-4 |
| Reference:
|
[11] M. G. Murdeshwar, S. A. Naimpally: Quasi-uniform topological spaces.Noordhoff (1966). Zbl 0139.40501, MR 0211386 |
| Reference:
|
[12] V. Niemytzki, A. Tychonoff: Beweis des Satzes, dass ein metrisierbarer Raum dann und nur dann Kompact ist, wenn er in jeder Matric vollstandig ist.Fund. Math. 12 (1928), 118--120. 10.4064/fm-12-1-118-120 |
| Reference:
|
[13] J. L. Sieber, W. J. Pervin: Completeness in quasi-uniform spaces.Math. Ann. 158 (1965), 79-81. Zbl 0134.41702, MR 0172229, 10.1007/BF01370731 |
| Reference:
|
[14] P. Urysohn: Über die Machtigkeit der zusammenhangen Mengen.Math. Ann. 94 (1925), 262-295. MR 1512258, 10.1007/BF01208659 |
| . |
