On Mackey topologies in topological abelian groups.
Displaying 121 – 140 of 261
On Neutral Subgroups of Topological Groups.
Walter Roelcke, Martin Leischner (1988)
Mathematische Annalen
On -ideals of groups of divisibility
Jiří Močkoř (1981)
Czechoslovak Mathematical Journal
On open subsemigroups of connected groups.
W.A.F. Ruppert (1989)
Semigroup forum
On orderability of topological groups.
Rangan, G. (1985)
International Journal of Mathematics and Mathematical Sciences
On Prealgebraic Groups.
Dong Hoon Lee, Ta-sun Wu (1984)
Mathematische Annalen
On resolvable spaces and groups
Luis Miguel Villegas-Silva (1995)
Commentationes Mathematicae Universitatis Carolinae
It is proved that every uncountable -bounded group and every homogeneous space containing a convergent sequence are resolvable. We find some conditions for a topological group topology to be irresolvable and maximal.
On Schwartz groups
L. Außenhofer, M. J. Chasco, X. Domínguez, V. Tarieladze (2007)
Studia Mathematica
We introduce a notion of a Schwartz group, which turns out to be coherent with the well known concept of a Schwartz topological vector space. We establish several basic properties of Schwartz groups and show that free topological Abelian groups, as well as free locally convex spaces, over hemicompact k-spaces are Schwartz groups. We also prove that every hemicompact k-space topological group, in particular the Pontryagin dual of a metrizable topological group, is a Schwartz group.
On simple recognizing of bounded sets
Jan Hejcman (1997)
Commentationes Mathematicae Universitatis Carolinae
We characterize those uniform spaces and commutative topological groups the bounded subsets of which can be recognized by using only one uniformly continuous pseudometric.
On the Commutator Subgroup of a Nonconnected Central Group.
Wolfgang Herfort (1978)
Monatshefte für Mathematik
On the completeness of a topological group of functions.
Kamal Kant Jha (1973)
Collectanea Mathematica
On the completeness of localic groups
Bernhard Banaschewski, Jacob J. C Vermeulen (1999)
Commentationes Mathematicae Universitatis Carolinae
The main purpose of this paper is to show that any localic group is complete in its two-sided uniformity, settling a problem open since work began in this area a decade ago. In addition, a number of other results are established, providing in particular a new functor from topological to localic groups and an alternative characterization of -groups.
On the dimension modulo classes of topological spaces and free topological groups.
Bakhia, I. (2003)
Georgian Mathematical Journal
On the foundations of k-group theory [Book]
W. F. Lamartin (1977)
On the Glicksberg theorem for locally quasi-convex Schwartz groups
Lydia Außenhofer (2008)
Fundamenta Mathematicae
We prove that every locally quasi-convex Schwartz group satisfies the Glicksberg theorem for weakly compact sets.
On the group of isometries of the Urysohn universal metric space
Vladimir Vladimirovich Uspenskij (1990)
Commentationes Mathematicae Universitatis Carolinae
On the -topology in groups
Jiří Esterka (1974)
Archivum Mathematicum
On the number of compact subsets in topological groups
Ofelia Teresa Alas (1987)
Commentationes Mathematicae Universitatis Carolinae
On the Product of Two (Totally) Minimal Topological Groups and the Three-Space-Problem.
V. Eberhardt, S. Dierolf, U. Schwanengel (1980)
Mathematische Annalen
On the Suslin number of subgroups of products of countable groups
Vladimir Vladimirovich Uspenskij (1995)
Acta Universitatis Carolinae. Mathematica et Physica