On some extrem properties of a class of simple groupoids.
L. Sin-Min, S. Aye (1979)
Publications de l'Institut Mathématique [Elektronische Ressource]
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L. Sin-Min, S. Aye (1979)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Morton, Jeffrey (2006)
Theory and Applications of Categories [electronic only]
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W. Waliszewski
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CONTENTSIntroduction................................................................................................................................................. 3I. TERMS AND NOTATION....................................................................................................................... 5II. GROUPOIDS AND CATEGORIES...................................................................................................... 61. The notion of groupoid............................................................................................................................
Ivan, Gh. (1999)
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Jaroslav Ježek (1970)
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Jonathan Brown, Lisa Orloff Clark (2014)
Fundamenta Mathematicae
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We prove that the Baire Category Theorem is equivalent to the following: Let G be a topological groupoid such that the unit space is a complete metric space, and there is a countable cover of G by neighbourhood bisections. If G is effective, then G is topologically principal.