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Semicontinuous groups and separation properties

1992
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International Journal of Mathematics and Mathematical Sciences
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In 1948, Samuel [2] pointed out that the intersection of two group topologies need not be a group topology. However, a number of properties that hold for a group topology still hold for a topological space that is an intersection of group topologies. In order to study these properties, we shall describe a class of topologies that can be placed on a group which we call semicontinuous topologies. (We point out here that Fuchs [1] calls these spaces semitopological groups). One important attribute

doi:10.1155/s0161171292000814
fatcat:dnjgz27bwfatjpumqdqtqwzpc4