| Title:
|
Sequential characterizations of metrizability (English) |
| Author:
|
Pochciał, Jan |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
41 |
| Issue:
|
2 |
| Year:
|
1991 |
| Pages:
|
203-215 |
| . |
| Category:
|
math |
| . |
| MSC:
|
54D55 |
| MSC:
|
54E25 |
| MSC:
|
54E35 |
| MSC:
|
54E99 |
| idZBL:
|
Zbl 0779.54003 |
| idMR:
|
MR1105436 |
| DOI:
|
10.21136/CMJ.1991.102453 |
| . |
| Date available:
|
2008-06-09T15:38:21Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102453 |
| . |
| Reference:
|
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| Reference:
|
[2] Alexiewicz A.: Functional Analysis.(in Polish) Warszawa, 1969. |
| Reference:
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[3] Arhangeľskij A.: New criteria of paracompactness and metrisability of an arbitrary $T\sb{1}$-space.(in Russian) DAN SSSR 141 (1961), 13-15. MR 0131261 |
| Reference:
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[4] Burzyk J., Mikusiński P.: On normability of semigroups.Bull. Ac. Pol. Math. 28 (1980), 33-35. MR 0616196 |
| Reference:
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[5] Collins P. J., Reed G. M., Roscoe A. W., Rudin M. E.: A lattice of conditions on topological spaces.Proc. Amer. Math. Soc., 94 (1985), 487-496. Zbl 0562.54043, MR 0787900, 10.1090/S0002-9939-1985-0787900-X |
| Reference:
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[6] Dolcher M.: Topologie e strutture di convergenza.Ann. Scuola Norm. Sup. di Pisa, Ser III, 14 (1960), 63-92. Zbl 0178.25502, MR 0114201 |
| Reference:
|
[7] Engelking R.: General topology.Warszawa, 1977. Zbl 0373.54002, MR 0500780 |
| Reference:
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[8] Gruenhage G.: Generalized Metric Spaces.Handbook of set theoretic topology, chapter 10, Elsevier, 1984. Zbl 0555.54015, MR 0776629 |
| Reference:
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[9] Junnila H.: Neighbornets.Pacific J. Math., 76 (1978), 83-108. Zbl 0353.54016, MR 0482677 |
| Reference:
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[10] Kamiński A.: On multivalued topological convergences.Bull. Ac. Pol. Math. 29 (1981), 605-608. MR 0654221 |
| Reference:
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[11] Kantorovič L., Akilov G.: Functional Analysis.(in Russian) Moskva 1977. MR 0511615 |
| Reference:
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[12] Kelley J. L.: General topology.New York, 1955. Zbl 0066.16604, MR 0070144 |
| Reference:
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[13] Kisyński J.: Convergence du type $L$.Colloquium Math. 7 (1960), 205-211. MR 0123287, 10.4064/cm-7-2-205-211 |
| Reference:
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[14] Mikusiński P., Pochcial J.: On bases of convergence.Proc. Conf. Schwerin 1983, Abh. Akad. Wiss. DDR Abt. Math. Naturwiss. Techn. 1984, 163-166. MR 0790170 |
| Reference:
|
[15] Nagata J.: On necessary and sufficient condition of metrizability.Journ. Inst. Polyt. Osaka City Univ. 1 (1950), 93-100. MR 0043448 |
| Reference:
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[16] Novák J.: On convergence spaces and their sequential envelopes.Czechoslovak Math. J. 75 (90), (1965), 74-100. MR 0175083 |
| Reference:
|
[17] Pochcial J.: On metrizability of convergence.Proc. Conf. Schwerin 1983, Abh. Akad. Wiss. DDR Abt. Math. Naturwiss. Techn. 1984, 177-179. MR 0790173 |
| Reference:
|
[18] Pochcial J.: On functional convergences.Rend. Ist. Matem. Univ. di Trieste 17 (1985), 47-54. Zbl 0606.54002, MR 0863555 |
| Reference:
|
[19] Smirnov J.: On metrization of topological spaces.(in Russian), Uspehi Mat. Nauk 6 (1951), wyp. 6, 100-111. Zbl 0052.39505, MR 0048788 |
| Reference:
|
[20] Stone A. H.: Sequences of coverings.Pacific Journ. of Math. 10 (1960), 689-691. Zbl 0114.14004, MR 0119189, 10.2140/pjm.1960.10.689 |
| Reference:
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[21] Urysohn P.: Über die Metrisation der kompakten topologischen Räume.Math. Ann. 92 (1924), 275-293. MR 1512215, 10.1007/BF01448010 |
| Reference:
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[22] Urysohn P.: Zum Metrisationsproblem.Math. Ann. 94 (1925), 309-315. MR 1512260 |
| . |
