Uniform free topological groups and Samuel compactifications |
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Authors: | Eric C Nummela |
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Institution: | Department of Mathematics, New England College, Henniker, NH 03242, USA |
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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. |
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Keywords: | 22A05 54D30 free topologicl group uniform space Samuel compactification |
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