The structure of semitopological monoids defined on compact connected 3-manifolds.
W. Ruppert (1980)
Semigroup forum
G. Willis (1994)
Mathematische Annalen
D.R. Brown, J.W. Stepp (1985)
Semigroup forum
Wolfgang Ruppert (1980)
Mathematische Zeitschrift
Štefan Schwarz (1956)
Czechoslovak Mathematical Journal
Anthony To-Ming Lau, John Pym (1995)
Mathematische Zeitschrift
Fabel, Paul (2005)
Algebraic & Geometric Topology
Schochet, C.L. (1999)
The New York Journal of Mathematics [electronic only]
J.E. McMorris (1976/1977)
Semigroup forum
Donald Marxen (1975)
Colloquium Mathematicae
Ebrahimi Vishki, H.R., Pourabdollah, M.A. (1999)
International Journal of Mathematics and Mathematical Sciences
Paul Milnes (1974)
Semigroup forum
C. Albert, P. Dazord (1990)
Publications du Département de mathématiques (Lyon)
Haynes, Tyler (1993)
International Journal of Mathematics and Mathematical Sciences
Alex Chigogidze (2001)
Fundamenta Mathematicae
We investigate topological AE(0)-groups, a class which contains the class of Polish groups as well as the class of all locally compact groups. We establish the existence of a universal AE(0)-group of a given weight as well as the existence of a universal action of an AE(0)-group of a given weight on an AE(0)-space of the same weight. A complete characterization of closed subgroups of powers of the symmetric group is obtained. It is also shown that every AE(0)-group is Baire isomorphic to a product...
Hindman, Neil, Strauss, Dona (1995)
The New York Journal of Mathematics [electronic only]
František Marko, Štefan Porubský (2015)
Colloquium Mathematicae
We investigate properties of coset topologies on commutative domains with an identity, in particular, the 𝓢-coprime topologies defined by Marko and Porubský (2012) and akin to the topology defined by Furstenberg (1955) in his proof of the infinitude of rational primes. We extend results about the infinitude of prime or maximal ideals related to the Dirichlet theorem on the infinitude of primes from Knopfmacher and Porubský (1997), and correct some results from that paper. Then we determine cluster...
Sergei V. Ovchinnikov (2001)
Mathware and Soft Computing
It is shown that any set-open topology on the automorphism group A(X) of a chain X coincides with the pointwise topology and that A(X) is a topological group with respect to this topology. Topological properties of connectedness and compactness in A(X) are investigated. In particular, it is shown that the automorphism group of a doubly homogeneous chain is generated by any neighborhood of the identity element.
Chew, James (1970)
Portugaliae mathematica
Alas, Ofelia T. (1971)
Portugaliae mathematica