On the solubility of transcendental equations in commutative C*-algebras.
García Armas, Mario, Sánchez Fernández, Carlos (2010)
Banach Journal of Mathematical Analysis [electronic only]
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García Armas, Mario, Sánchez Fernández, Carlos (2010)
Banach Journal of Mathematical Analysis [electronic only]
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Mihail G. Tkachenko, Vladimir Vladimirovich Tkachuk, Vladimir Vladimirovich Uspenskij, Richard Gordon Wilson (1996)
Commentationes Mathematicae Universitatis Carolinae
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We study when a topological space has a weaker connected topology. Various sufficient and necessary conditions are given for a space to have a weaker Hausdorff or regular connected topology. It is proved that the property of a space of having a weaker Tychonoff topology is preserved by any of the free topological group functors. Examples are given for non-preservation of this property by “nice” continuous mappings. The requirement that a space have a weaker Tychonoff connected topology...
Carter, Sheila, Craveiro de Carvalho, F.J. (2005)
Beiträge zur Algebra und Geometrie
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Manoussos, Antonios, Strantzalos, Polychronis (2003)
Journal of Lie Theory
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István Juhász, Zoltán Szentmiklóssy, Andrzej Szymański (2007)
Commentationes Mathematicae Universitatis Carolinae
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Yakovlev [, Comment. Math. Univ. Carolin. (1980), 263–283] showed that any Eberlein compactum is hereditarily -metacompact. We show that this property actually characterizes Eberlein compacta among compact spaces of finite metrizability number. Uniformly Eberlein compacta and Corson compacta of finite metrizability number can be characterized in an analogous way.