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Uniform free topological groups and Samuel compactifications
Authors:Eric C Nummela
Institution:Department of Mathematics, New England College, Henniker, NH 03242, USA
Abstract:The uniform free topological group over a uniform space μX is embedded in the uniform free topological group over the Samuel compactification of μX if and only if μX is pseudocompact. Several consequences of this result are explored.
Keywords:22A05  54D30  free topologicl group  uniform space  Samuel compactification
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