dc.contributor.author Ovchinnikov, Sergei V. dc.date.accessioned 2007-09-28T10:40:18Z dc.date.available 2007-09-28T10:40:18Z dc.date.issued 2001 dc.identifier.issn 1134-5632 dc.identifier.uri http://hdl.handle.net/2099/3592 dc.description.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. dc.format.extent 47-60 dc.language.iso eng dc.publisher Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica dc.relation.ispartof Mathware & soft computing . 2001 Vol. 8 Núm. 1 dc.rights Reconeixement-NoComercial-CompartirIgual 3.0 Espanya dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/3.0/es/ dc.subject.other Automorphism group dc.subject.other Function space dc.subject.other Robustness dc.title Topological automorphism groups of chains dc.type Article dc.subject.lemac Estructures algebraiques ordenades dc.subject.ams Classificació AMS::06 Order, lattices, ordered algebraic structures::06F Ordered structures dc.rights.access Open Access
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