Title:
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Compact Hausdorff group topologies for the additive group of real numbers
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Author:
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Bruguera Padró, Maria Montserrat; Martín-Peinador, Elena
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Matemàtiques |
Abstract:
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This volume contains the contributions presented by several colleagues as a tribute
to the mathematical and human qualities of Jos e Mar a Montesinos Amilibia on the
occasion of his seventieth birthday. The editors would like to express their thanks
to the contributors and their very especial gratitude to Jos e Mar a for his example
through many years of scienti c and personal contact |
Abstract:
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We deal with an example of a topology for the additive group of real numbers
R, which makes it a compact Hausdor topological group. Further, (R; ) is
connected, but neither arcwise connected, nor locally connected. Thus, it is nei-
ther a Lie group, nor a curve in the sense of H. Mazurkiewicz. The contribution
of this short note is to provide an elementary proof of the fact that it is not
arcwise connected. |
Abstract:
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Peer Reviewed |
Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Topologia::Grups topològics -Curves -Corbes |
Rights:
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http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
Document type:
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Article - Published version Book Part |
Published by:
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Universidad Complutense de Madrid (UCM)
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