On geometric objects
W. Waliszewski (1971)
Annales Polonici Mathematici
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W. Waliszewski (1971)
Annales Polonici Mathematici
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Zenon Moszner (2019)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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In this note the necessary and sufficient conditon it would the concomitant of the geometric object was the geometric object too is given.
R. Smiljanić (1964)
Matematički Vesnik
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Aleksandar T. Lipkovski (2000)
Visual Mathematics
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Anders Kock (1980)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Jean Pradines (2004)
Open Mathematics
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Starting with some motivating examples (classical atlases for a manifold, space of leaves of a foliation, group orbits), we propose to view a Lie groupoid as a generalized atlas for the “virtual structure” of its orbit space, the equivalence between atlases being here the smooth Morita equivalence. This “structure” keeps memory of the isotropy groups and of the smoothness as well. To take the smoothness into account, we claim that we can go very far by retaining just a few formal properties...
Bourn, Dominique (2006)
Theory and Applications of Categories [electronic only]
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Andrzej Zajtz (1985)
Colloquium Mathematicae
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Ieke Moerdijk (1990)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Anders Kock (2003)
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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