Compactness type properties in topological groups
Tkachenko, Mihail G.
Czechoslovak Mathematical Journal, Tome 38 (1988), p. 324-341 / Harvested from Czech Digital Mathematics Library
Publié le : 1988-01-01
Classification:  22A05,  54H99
@article{102228,
     author = {Mihail G. Tkachenko},
     title = {Compactness type properties in topological groups},
     journal = {Czechoslovak Mathematical Journal},
     volume = {38},
     year = {1988},
     pages = {324-341},
     zbl = {0664.54006},
     mrnumber = {946302},
     language = {en},
     url = {http://dml.mathdoc.fr/item/102228}
}
Tkachenko, Mihail G. Compactness type properties in topological groups. Czechoslovak Mathematical Journal, Tome 38 (1988) pp. 324-341. http://gdmltest.u-ga.fr/item/102228/

Arhangeľskii A. V. Topological spaces and continuous mappings. Notes on topological groups, - Moscow State University, 1969. (In Russian). (1969)

Arhangeľskii A. V. Cardinal invariants of topological groups. Imbeddings and condensations, - Soviet Math. Dokl., 1979, v. 20, N. 4, p. 783--787. (1979) | MR 0553825

Arhangeľskii A. V. On linear homomorphisms of functional spaces, - Dokl. Acad. Sci. URSS, 1982, V. 264, N 6, p. 1286-1292. (In Russian). (1982)

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). (1984) | MR 0764007

Blasco J. L. On $\mu$-spaces and $k\sb{R}$-spaces, - Proc. Amer. Math. Soc., 1977, v. 67, N 1, p. 179-186. (1977) | MR 0464152

Chigogidze A. Ch. On $\chi$-metrizable spaces, - Uspekhy Math. Sci., 1982, v. 37, N2, p. 241-242. (In Russian). (1982) | MR 0650791

Comfort W. W.; Ross K. A. Pseudocompactness and uniform continuity in topological groups, - Pacific J. Math., 1966, v. 16, N 3, pp. 483-496. (1966) | MR 0207886 | Zbl 0214.28502

Comfort W. W.; Saks V. Countably compact groups and finest totally bounded uniformities, - Pacific J. Math., 1973, v. 49, N 1, p. 33-44. (1973) | MR 0372104

Comfort W. W.; Soundararajan T. Pseudocompact group topologies and totally dense subgroups, - Pacific J. Math., 1982, v. 100, N 1, p. 61-84. (1982) | MR 0661441 | Zbl 0451.22002

Comfort W. W.; Robertson L. C. Extremal phenomena in certain classes of totally bounded groups, - Preprint. | MR 0959432 | Zbl 0703.22002

Douwen E. K. Van The product of two countably compact topological groups, - Trans. Amer. Math. Soc., 1980, v. 262, N 2, p. 417-427. (1980) | Article | MR 0586725

Engelking R. General Topology, - PWN, Warszawa, 1977. (1977) | MR 0500780 | Zbl 0373.54002

Grant G. L. Topological groups which satisfy an open mapping theorem, - Pacific J. Math., 1977, v. 68, N2, p. 411-423. (1977) | MR 0466395 | Zbl 0375.22002

Hajnal A.; Juhász I. A separable normal topological group need not be Lindelöf, - Gen. Top. Appl., 1976, v. 6, p. 199-205. (1976) | MR 0431086

Hewitt E.; Ross K. A. Abstract harmonic analysis, vol. I, - Springer-Verlag, Berlin- Göttingen-Heidelberg, 1963. (1963) | MR 0551496 | Zbl 0115.10603

Matveev M. V. Pseudocompact spaces and spaces closed to being pseudocompact, - Dissertation, Moscow, 1984. (In Russian). (1984)

Noble N. Countably compact and pseudocompact products, - Czechoslovak Math. J., 1969, v. 19, N2, p. 390-397. (1969) | MR 0248717 | Zbl 0184.47706

Noble N The continuity of functions on Cartesian products, - Trans. Amer. Math. Soc., 1970, v. 149, p, 187-198. (1970) | MR 0257987 | Zbl 0229.54028

Novák J. On the Cartesian product of two compact spaces, - Fund. Math., 1953, v. 40, p. 106-112. (1953) | MR 0060212

Pontrjagin L. S. Continuous groups, - Moscow, 1973. (In Russian). (1973) | MR 0357673

Roelcke W.; Dierolf S. Uniform structures on topological groups and their quotients, -- N. Y., Mc Graw-Hill Inc., 1981. (1981) | MR 0644485 | Zbl 0489.22001

Tkačenko M. G. Some results on inverse spectra, II, - Comment. Math. Univ. Carol., 1981, V. 22, N4, p. 819-841. (1981) | MR 0647029

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. (1981) | Article | MR 0647345

Tkačenko M. G. Free topological groups and related topics, - Colloquia Math., 1983, v. 41, pp. 609-623. (1983) | MR 0863943

Ščepin E. V. Topology of limit spaces of uncountable inverse spectra, - Uspekhy Math. Sci., 1976, V. 31, N 5, p. 191-226. (In Russian). (1976) | MR 0464137

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). (1976) | MR 0458358

Ščepin E. V. On $\chi$-metrizable spaces, - Izv. Acad. Sec. URSS, 1979, v. 43, N 2, p. 442-478. (In Russian). (1979) | MR 0534603

Uspenskiĭ V. V. On continuous images of Lindelöf topological groups, - Dokl. Acad. Sci. URSS, 1985, V. 285, N 4, p. 824-827. (In Russian). (1985) | MR 0821360