Maximally almost periodic groups and varieties of topological groups
Sidney Morris (1974)
Fundamenta Mathematicae
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Sidney Morris (1974)
Fundamenta Mathematicae
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Sidney A. Morris (1974)
Matematický časopis
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Sidney A. Morris (1982)
Colloquium Mathematicae
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Sidney A. Morris (1972)
Colloquium Mathematicae
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Otera, Daniele Ettore, Russo, Francesco G. (2010)
International Journal of Mathematics and Mathematical Sciences
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Sidney A. Morris (1974)
Colloquium Mathematicae
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Sidney Morris (1973)
Fundamenta Mathematicae
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Sidney A. Morris (1973)
Colloquium Mathematicae
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W. F. Lamartin
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CONTENTSIntroduction................... 51. k-spaces.................... 62. k-groups.................... 14References..................... 32
Carolyn E. McPhail, Sidney A. Morris
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A variety of topological groups is a class of (not necessarily Hausdorff) topological groups closed under the operations of forming subgroups, quotient groups and arbitrary products. The variety of topological groups generated by a class of topological groups is the smallest variety containing the class. In this paper methods are presented to distinguish a number of significant varieties of abelian topological groups, including the varieties generated by (i) the class of all locally...
Warren B. Moors (2016)
Fundamenta Mathematicae
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The purpose of this note is two-fold: firstly, to give a new and interesting result concerning separate and joint continuity, and secondly, to give a stream-lined (and self-contained) proof of the fact that "tame" CHART groups are topological groups.
Janusz Grabowski, Wojciech Wojtyński (1990)
Colloquium Mathematicae
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Sidney A. Morris (1973)
Colloquium Mathematicae
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B. Bajorska, O. Macedońska (2001)
Colloquium Mathematicae
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Let G* denote a nonprincipal ultrapower of a group G. In 1986 M.~Boffa posed a question equivalent to the following one: if G does not satisfy a positive law, does G* contain a free nonabelian subsemigroup? We give the affirmative answer to this question in the large class of groups containing all residually finite and all soluble groups, in fact, all groups considered in traditional textbooks on group theory.