Proceedings of the American Mathematical Society

			Journals Home Search Author Info Subscribe Tech Support My Subscriptions Help
ISSN 1088-6826(e) ISSN 0002-9939(p)

On group operations on homogeneous spaces

Author(s): Yevhen Zelenyuk
Journal: Proc. Amer. Math. Soc. 132 (2004), 1219-1222.
MSC (2000): Primary 22A30, 54H11; Secondary 20A05, 54A05
Posted: November 7, 2003
MathSciNet review: 2045441
Retrieve article in: PDF
This article is available free of charge

Abstract | References | Similar articles | Additional information

Abstract: It is proved that every countably infinite homogeneous regular space admits a structure of any countably infinite group with continuous left shifts.

References:

1.: W. Comfort, Topological groups, in Handbook of Set-theoretic Topology, edited by K. Kunen and J. E. Vaughan, North-Holland, Amsterdam, 1984, 1143-1263. MR 86g:22001
2.: N. Hindman and D. Strauss, Algebra in the Stone-Cech compactification, De Gruyter, Berlin, 1998. MR 99j:54001
3.: T. Papazyan, Extremal Topologies on a Semigroup, Topology and its Applications 39 (1991), 229-243. MR 92f:22003
4.: I. Protasov, Filters and topologies on semigroups, (in Russian) Mat. Studii 3 (1994), 15-28. MR 2000k:22005
5.: Y. Zelenyuk, Finite Groups in $\beta\mathbb N$ are Trivial, Semigroup Forum 55 (1997), 131-132. MR 99b:22004
6.: Y. Zelenyuk, On topologies on groups with continuous shifts and inversion, (in Ukrainian) Visnyk Kyiv Univ., Ser. Fiz.-Mat. No. 2 (2000), 252-256.

Similar Articles:

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 22A30, 54H11, 20A05, 54A05

Retrieve articles in all Journals with MSC (2000): 22A30, 54H11, 20A05, 54A05

Additional Information:

Yevhen Zelenyuk
Affiliation: Faculty of Cybernetics, Kyiv Taras Shevchenko University, vul. Glushkova 2, korp. 6, 03680, Kyiv, Ukraine
Email: grishko@i.com.ua

DOI: 10.1090/S0002-9939-03-07299-X
PII: S 0002-9939(03)07299-X
Keywords: Homogeneous space, Boolean group, left topological group, local isomorphism
Received by editor(s): December 12, 2001
Received by editor(s) in revised form: May 23, 2002
Posted: November 7, 2003
Communicated by: Alan Dow
Copyright of article: Copyright 2003, American Mathematical Society

	Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
\|