Hernández, C.; Robbie, D.; Tkachenko, M. (2000). Some properties of o-bounded and strictly o-bounded groups. Applied General Topology. 1(1):29-43. https://doi.org/10.4995/agt.2000.3022
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/81891
Title:
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Some properties of o-bounded and strictly o-bounded groups
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Author:
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Hernández, C.
Robbie, D.
Tkachenko, Mikhail
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Issued date:
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Abstract:
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[EN] We continue the study of (strictly) o-bounded topological groups initiated by the first listed author and solve two problems posed earlier. It is shown here that the product of a Comfort-like topological group by a ...[+]
[EN] We continue the study of (strictly) o-bounded topological groups initiated by the first listed author and solve two problems posed earlier. It is shown here that the product of a Comfort-like topological group by a (strictly) o-bounded group is (strictly) o-bounded. Some non-trivial examples of strictly o-bounded free topological groups are given. We also show that o-boundedness is not productive, and strict o-boundedness cannot be characterized by means of second countable continuous homomorphic images.
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Subjects:
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O-bounded group
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Strictly o-bounded group
,
Comfort-like group
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Copyrigths:
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Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
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Source:
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Applied General Topology. (issn:
1576-9402
) (eissn:
1989-4147
)
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DOI:
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10.4995/agt.2000.3022
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Publisher:
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Universitat Politècnica de València
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Publisher version:
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https://doi.org/10.4995/agt.2000.3022
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Project ID:
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info:eu-repo/grantAgreement/CONACyT//400200-5-28411E/
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Thanks:
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The research is partially supported by Consejo Nacional de Ciencias y Tecnología (CONACyT) of Mexico, grant no. 400200-5-28411E, and grant for Special Studies Program (Long) The University of Melbourne (Science Faculty).
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Type:
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Artículo
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