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Actions of Semitopological Groups
Part of:
Topological and differentiable algebraic systems
Connections with other structures, applications
Published online by Cambridge University Press: 04 January 2019
Abstract
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We investigate continuous transitive actions of semitopological groups on spaces, as well as separately continuous transitive actions of topological groups.
MSC classification
Primary:
54H11: Topological groups
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- © Canadian Mathematical Society 2018
Footnotes
Author J. v. M. is pleased to thank the Department of Mathematics at Nipissing University for generous hospitality and support. Author V. M. V. was partially supported by NSERC Grant 261914-13.
References
Arens, R.,
Topologies for homeomorphism groups
. Amer. J. Math.
68(1946), 593–610. https://doi.org/10.2307/2371787.Google Scholar
Arhangel’skii, A. and Reznichenko, E.,
Paratopologivcal and semitopological groups versus topological groups
. Topology Appl.
151(2005), 107–119. https://doi.org/10.1016/j.topol.2003.08.035.Google Scholar
Arhangel’skii, A. and Tkachenko, M.,
Topological groups and related structures
. Atlantis Studies in Mathematics, 1. Atlantis Press, Paris; World Scientific, Hackensack, NJ, 2008.Google Scholar
Chatyrko, V. and Kozlov, K.,
Topological transformation groups and Dugundji compact Hausdorff spaces
. (Russian) Mat. Sb.
201(2010), no. 1, 103–128.Google Scholar
Chatyrko, V. and Kozlov, K.,
The maximal G-compactifications of G-spaces with special actions
. In: Proceedings of the Ninth Prague Topological Symposium (2001), Topol. Atlas, North Bay, ON, 2002, pp. 15–21.Google Scholar
Engelking, R., General topology. Second ed, Sigma Series in Pure Mathematics, 6, Heldermann Verlag, Berlin, 1989.Google Scholar
Kucharski, A., Plewik, Sz., and Valov, V.,
Skeletally Dugundji spaces
. Central Eur. J. Math.
11(2013), 1949–1959.Google Scholar
Haydon, R.,
On a problem of Pelczynski: Milutin spaces, Dugundji spaces and AE(0–dim)
. Studia Math.
52(1974), 23–31. https://doi.org/10.4064/sm-52-1-23-31.Google Scholar
Mioduszewski, J. and Rudolf, L.,
H-closed and extremally disconnected Hausdorff spaces
. Dissertationes Math. Rozprawy Mat.
66(1969).Google Scholar
Pełczyński, A.,
Linear extensions, linear averagings, and their applications to linear topological classification of spaces of continuous functions
. Dissert. Math.
58(1968), 1–89.Google Scholar
Sanchis, M. and Tkachenko, M.,
Totally Lindeöf and totally 𝜔-narrow semitopological groups
. Topology Appl.
155(2008), no. 4, 322–334. https://doi.org/10.1016/j.topol.2007.05.017.Google Scholar
Teleman, S.,
Sur la représentation linéaire des groupes topologiques
. Ann. Sci. Ecole Norm. Sup.
74(1957), 319–339. https://doi.org/10.24033/asens.1060.Google Scholar
Uspenskij, V.,
Topological groups and Dugundji compact spaces
. (Russian) Mat. Sb.
180(1989), no. 8, 1092–1118. 1151.Google Scholar
Uspenskij, V.,
Compact quotient spaces of topological groups and Haydon spectra
. (Russian) Mat. Zametki
42(1987), no. 4, 594–602.Google Scholar
Veličko, N.,
A remark on plumed spaces
. (Russian) Czechoslovak Math. J.
25(100)(1975), 8–19.Google Scholar
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