| Title:
|
Compactness type properties in topological groups (English) |
| Author:
|
Tkachenko, Mikhail G. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
38 |
| Issue:
|
2 |
| Year:
|
1988 |
| Pages:
|
324-341 |
| . |
| Category:
|
math |
| . |
| MSC:
|
22A05 |
| MSC:
|
54H99 |
| idZBL:
|
Zbl 0664.54006 |
| idMR:
|
MR946302 |
| DOI:
|
10.21136/CMJ.1988.102228 |
| . |
| Date available:
|
2008-06-09T15:21:29Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102228 |
| . |
| Reference:
|
[1] Arhangeľskii A. V.: Topological spaces and continuous mappings. Notes on topological groups.- Moscow State University, 1969. (In Russian). |
| Reference:
|
[2] Arhangeľskii A. V.: Cardinal invariants of topological groups. Imbeddings and condensations.- Soviet Math. Dokl., 1979, v. 20, N. 4, p. 783--787. MR 0553825 |
| Reference:
|
[3] Arhangeľskii A. V.: On linear homomorphisms of functional spaces.- Dokl. Acad. Sci. URSS, 1982, V. 264, N 6, p. 1286-1292. (In Russian). |
| Reference:
|
[4] Arhangeľskii A. V.: Spaces of functions endowed with pointwise convergence topology and compact sets.- Uspekhy Math. Sci., 1984, v. 39, N 5, p. 11 - 50. (In Russian). MR 0764007 |
| Reference:
|
[5] Blasco J. L.: On $\mu$-spaces and $k\sb{R}$-spaces.- Proc. Amer. Math. Soc., 1977, v. 67, N 1, p. 179-186. MR 0464152 |
| Reference:
|
[6] Chigogidze A. Ch.: On $\chi$-metrizable spaces.- Uspekhy Math. Sci., 1982, v. 37, N2, p. 241-242. (In Russian). MR 0650791 |
| Reference:
|
[7] Comfort W. W., Ross K. A.: Pseudocompactness and uniform continuity in topological groups.- Pacific J. Math., 1966, v. 16, N 3, pp. 483-496. Zbl 0214.28502, MR 0207886 |
| Reference:
|
[8] Comfort W. W., Saks V.: Countably compact groups and finest totally bounded uniformities.- Pacific J. Math., 1973, v. 49, N 1, p. 33-44. MR 0372104 |
| Reference:
|
[9] Comfort W. W., Soundararajan T.: Pseudocompact group topologies and totally dense subgroups.- Pacific J. Math., 1982, v. 100, N 1, p. 61-84. Zbl 0451.22002, MR 0661441 |
| Reference:
|
[10] Comfort W. W., Robertson L. C.: Extremal phenomena in certain classes of totally bounded groups.- Preprint. Zbl 0703.22002, MR 0959432 |
| Reference:
|
[11] Douwen E. K. van: The product of two countably compact topological groups.- Trans. Amer. Math. Soc., 1980, v. 262, N 2, p. 417-427. MR 0586725, 10.1090/S0002-9947-1980-0586725-8 |
| Reference:
|
[12] Engelking R.: General Topology.- PWN, Warszawa, 1977. Zbl 0373.54002, MR 0500780 |
| Reference:
|
[13] Grant G. L.: Topological groups which satisfy an open mapping theorem.- Pacific J. Math., 1977, v. 68, N2, p. 411-423. Zbl 0375.22002, MR 0466395 |
| Reference:
|
[14] Hajnal A., Juhász I.: A separable normal topological group need not be Lindelöf.- Gen. Top. Appl., 1976, v. 6, p. 199-205. MR 0431086 |
| Reference:
|
[15] Hewitt E., Ross K. A.: Abstract harmonic analysis, vol. I.- Springer-Verlag, Berlin- Göttingen-Heidelberg, 1963. Zbl 0115.10603, MR 0551496 |
| Reference:
|
[16] Matveev M. V.: Pseudocompact spaces and spaces closed to being pseudocompact.- Dissertation, Moscow, 1984. (In Russian). |
| Reference:
|
[17] Noble N.: Countably compact and pseudocompact products.- Czechoslovak Math. J., 1969, v. 19, N2, p. 390-397. Zbl 0184.47706, MR 0248717 |
| Reference:
|
[18] Noble N: The continuity of functions on Cartesian products.- Trans. Amer. Math. Soc., 1970, v. 149, p, 187-198. Zbl 0229.54028, MR 0257987 |
| Reference:
|
[19] Novák J.: On the Cartesian product of two compact spaces.- Fund. Math., 1953, v. 40, p. 106-112. MR 0060212, 10.4064/fm-40-1-106-112 |
| Reference:
|
[20] Pontrjagin L. S.: Continuous groups.- Moscow, 1973. (In Russian). MR 0357673 |
| Reference:
|
[21] Roelcke W., Dierolf S.: Uniform structures on topological groups and their quotients.-- N. Y., Mc Graw-Hill Inc., 1981. Zbl 0489.22001, MR 0644485 |
| Reference:
|
[22] Tkačenko M. G.: Some results on inverse spectra, II.- Comment. Math. Univ. Carol., 1981, V. 22, N4, p. 819-841. MR 0647029 |
| Reference:
|
[23] Tkačenko M. G.: Examples of connected left-separated spaces and topological groups.- Acta Math. Acad. Sci. Hungar, 1981, v. 38, N 3, p. 257-261. MR 0647345, 10.1007/BF01917540 |
| Reference:
|
[24] Tkačenko M. G.: Free topological groups and related topics.- Colloquia Math., 1983, v. 41, pp. 609-623. MR 0863943 |
| Reference:
|
[25] Ščepin E. V.: Topology of limit spaces of uncountable inverse spectra.- Uspekhy Math. Sci., 1976, V. 31, N 5, p. 191-226. (In Russian). MR 0464137 |
| Reference:
|
[26] Ščepin E. V.: Real-valued functions and canonical sets in Tychonoff products and topological groups.- Uspekhy Math. Sci., 1976, v. 31, N 6, p. 17-27. (In Russian). MR 0458358 |
| Reference:
|
[27] Ščepin E. V.: On $\chi$-metrizable spaces.- Izv. Acad. Sec. URSS, 1979, v. 43, N 2, p. 442-478. (In Russian). MR 0534603 |
| Reference:
|
[28] Uspenskiĭ V. V.: On continuous images of Lindelöf topological groups.- Dokl. Acad. Sci. URSS, 1985, V. 285, N 4, p. 824-827. (In Russian). MR 0821360 |
| . |
