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13.334 Articles in journals published by the UPC
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Topological automorphism groups of chains

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Ovchinnikov, Sergei V.
Document typeArticle
Defense date2001
PublisherUniversitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica
Rights accessOpen Access
Attribution-NonCommercial-NoDerivs 3.0 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain
Abstract
It is shown that any set--open topology on the automorphism group $A(X)$ of a chain $X$ coincides with the pointwise topology and that $A(X)$ is a topological group with respect to this topology. Topological properties of connectedness and compactness in $A(X)$ are investigated. In particular, it is shown that the automorphism group of a doubly homogeneous chain is generated by any neighborhood of the identity element.
URIhttp://hdl.handle.net/2099/3592
ISSN1134-5632
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  • Mathware & soft computing - 2001, Vol. VIII, Núm. 1 [6]
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