Let alpha be an infinite cardinal. Generalizing a recent result of Comfort and van Mill, we prove that every alpha-pseudocompact abelian group of weight > alpha has some proper dense alpha-pseudocompact subgroup and admits some strictly finer alpha-pseudocompact group topology.
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页码:639 / 659
页数:21
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[1]
[Anonymous], 1988, DISS MATH
[2]
Braconnier J., 1948, J. Math. Pures Appl., V27, P1
机构:Univ Jaume 1, Dept Matemat, Area Cient Tecn, Castellon de La Plana 8029, Spain
Comfort, WW
Galindo, J
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Univ Jaume 1, Dept Matemat, Area Cient Tecn, Castellon de La Plana 8029, SpainUniv Jaume 1, Dept Matemat, Area Cient Tecn, Castellon de La Plana 8029, Spain
机构:Univ Jaume 1, Dept Matemat, Area Cient Tecn, Castellon de La Plana 8029, Spain
Comfort, WW
Galindo, J
论文数: 0引用数: 0
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Univ Jaume 1, Dept Matemat, Area Cient Tecn, Castellon de La Plana 8029, SpainUniv Jaume 1, Dept Matemat, Area Cient Tecn, Castellon de La Plana 8029, Spain