Dugundji spaces and topological groups

Dmitriĭ B. Shakhmatov

Commentationes Mathematicae Universitatis Carolinae (1990)

  • Volume: 031, Issue: 1, page 129-143
  • ISSN: 0010-2628

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Shakhmatov, Dmitriĭ B.. "Dugundji spaces and topological groups." Commentationes Mathematicae Universitatis Carolinae 031.1 (1990): 129-143. <http://eudml.org/doc/17817>.

@article{Shakhmatov1990,
author = {Shakhmatov, Dmitriĭ B.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {embeddings; compact retract; Dugundji space},
language = {eng},
number = {1},
pages = {129-143},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Dugundji spaces and topological groups},
url = {http://eudml.org/doc/17817},
volume = {031},
year = {1990},
}

TY - JOUR
AU - Shakhmatov, Dmitriĭ B.
TI - Dugundji spaces and topological groups
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1990
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 031
IS - 1
SP - 129
EP - 143
LA - eng
KW - embeddings; compact retract; Dugundji space
UR - http://eudml.org/doc/17817
ER -

References

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  1. E. K. van Douwen, Simultaneous linear extension of continuous functions, General Topol. Appl. 5 (1975), 297-312. (1975) Zbl0309.54013MR0380715
  2. A. N. Draniahnikov, Set-valued absolute retracts and absolute extensors in dimension 0 and 1, (in Ruasian), Uspekhi Matem. Nauk 88 (5) (1984), 241-242. (1984) 
  3. R. Engelking, General Topology, (Warsawa, PWN, 1977). (1977) Zbl0373.54002MR0500780
  4. M. I. Graev, Free topological groups, (in Russian), Izv. Akad. Nauk SSSR, ser. Matem. 12 (1948), 279-324. (1948) MR0025474
  5. R. Haydon, On a problem of Pelczyński: Milutin spaces, Dugundji spaces and AE(0-dim), Studia Math. 52 (1974), 23-31. (1974) Zbl0294.46016MR0418025
  6. A. V. Ivanov, Superextensions of openly generated bicompacta, (in Russian), Dokl. Akad. Nauk SSSR 259 (1981), 275-278. (1981) MR0625216
  7. K. Kuratowski, Une méthode de prolongement des ensembles relativement fermés ou ouverts, Colloq. Math. 1 (1948), 273-278. (1948) Zbl0037.39403MR0030739
  8. A. A. Markov, On free topological groups, (in Russian), Izv. Akad. Nauk SSSR, ser. Matem. 9 (1945), 3-64. (1945) MR0012301
  9. A. Pelczyński, Linear extensions, linear averagings and their applications, Dissertationes Math. 58 (Warszawa, PWN, 1968). (1968) MR0227751
  10. E. V. Ščepin, Functors and uncountable powers of compacta, (In Russian), Uspekhi Matem. Nauk 36 (3) (1981), 3-62. (1981) MR0622720
  11. E. V. Ščepin, On topological products, groups and new class of spaces more general than metric ones, (In Russian), Dokl. Akad. Nauk SSSR 226 (1976), 527-529. (1976) MR0405350
  12. E. V. Ščepin, On κ -metrizable spaces, Izv. Akad. Nauk SSSR, ser. Matem. 43 (1979), 442-478. (1979) MR0534603
  13. D. B. Shakhmatov, Dugundji spaces and topological groups, Interim Report Prague Topol. Symposium 2 (1987) 15. (1987) 
  14. L. V. Shirokov, An external characterization of Dugundji spaces and kappa-metrizable bicompacta, (In Russian), Dokl. Akad. Nauk SSSR 263 (1982), 1073-1077. (1982) MR0652160
  15. V. V. Uspenskii, On continuous images of Lindelöf topological groups, (In Russian), Dokl. Akad. Nauk SSSR 285 (1985), 824-827. (1985) MR0821360
  16. V. V. Uspenskii, Topological groups and Dugundji compacta, (In Russian), Matem. Sborník 180 (1989), 1092-1118. (1989) MR1019483
  17. V. M. Valov, Another characterization of AE(0)-spaces, Pacif. J. Math. 127 (1987), 199-208. (1987) Zbl0593.54033MR0876026

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