| Title:
|
Infinite products of filters (English) |
| Author:
|
Davis, Brian L. |
| Author:
|
Labuda, Iwo |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
57 |
| Issue:
|
4 |
| Year:
|
2007 |
| Pages:
|
[369]-380 |
| . |
| Category:
|
math |
| . |
| MSC:
|
54D30 |
| idZBL:
|
Zbl 1150.54024 |
| idMR:
|
MR2357833 |
| . |
| Date available:
|
2009-09-25T14:39:41Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136963 |
| . |
| Reference:
|
[CF] CHEVALLEY C.-FRINK O.: Bicompactness of cartesian products.Bull. Amer. Math. Soc. 47 (1941), 612-614. Zbl 0027.14202, MR 0004760 |
| Reference:
|
[DaL] DAVIS B. L.-LABUDA, L: Unity of compactness.Quaest. Math. (2007) (To appear). Zbl 1132.54013, MR 2337362 |
| Reference:
|
[D] DOLECKI S.: Convergence-theoretic characterizations of compactness.Topology Appl. 125 (2002), 393-417. Zbl 1022.54015, MR 1934279 |
| Reference:
|
[DG] DOLECKI S.-GRECO G. H.: Familles pseudotopologiques de filtres et compacte.C. R. Acad. Sci. Paris Sér. I Math. 296 (1983), 211-214. MR 0692979 |
| Reference:
|
[DL] DREWNOWSKI L.-LABUDA, L: On minimal upper semicontinuous compact-valued maps.Rocky Mountain J. Math. 20 (1990), 737-752. Zbl 0742.54006, MR 1073720 |
| Reference:
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[E] ENGELKING R.: General Topology.PWN Polish Scientific Publishers, Warszawa, 1977. Zbl 0373.54002, MR 0500780 |
| Reference:
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[H]
: Handbook of Set-Theoretic Topology.(K. Kunen, J. E. Vaughan, eds.), Elsevier Science Publishers, Amsterdam-New York-Oxford, 1984. Zbl 0546.00022, MR 0776619 |
| Reference:
|
[JLM] JORDAN F.-LABUDA L.-MYNARD F.: Finite products of filters that are compact relative to a class of filters.Appl. Gen. Topol. (To appear). Zbl 1155.54002, MR 2864007 |
| Reference:
|
[JM] JORDAN F.-MYNARD F.: Compatible relations on filters and stability of local topological properties under supremum and product.Topology Appl. 153 (2006), 2386-2412 Zbl 1188.54007, MR 2243719 |
| Reference:
|
[K] KELLEY J. L.: General Topology.Van Nostrand, New York, 1955. Zbl 0066.16604, MR 0070144 |
| Reference:
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[L] LABUDA, L: Compactoidness.Rocky Mountain J. Math. 36 (2006), 555-574. Zbl 1165.54307, MR 2234820 |
| Reference:
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[N] NOVAK J.: On the cartesian product of two compact spaces.Fund. Math. 40 (1953), 106-112. Zbl 0053.12404, MR 0060212 |
| Reference:
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[P] PETTIS B. J.: Cluster sets of nets.Proc. Amer. Math. Soc. 22 (1969), 386-391. Zbl 0181.25601, MR 0276922 |
| Reference:
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[S] STEPHENSON R. M., Jr.: Initially $\kappa$-compact and related spaces.In: Handbook of Set-Theoretic Topology, Elsevier Science Publishers, 1984, pp. 603-632. Zbl 0588.54025, MR 0776632 |
| Reference:
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[T] TERASAKA H.: On cartesian products of compact spaces.Osaka J. Math. 4 (1952), 11-15. MR 0051500 |
| Reference:
|
[V1] VAUGHAN J. E.: Products of topological spaces.General Topology Appl. 8 (1978), 207-217. Zbl 0396.54016, MR 0493935 |
| Reference:
|
[V2] VAUGHAN J. E.: Countably compact and sequentially compact spaces.In: Handbook of Set-Theoretic Topology, Elsevier Science Publishers, 1984, pp. 569-602. Zbl 0562.54031, MR 0776631 |
| . |
