Morphisms which are continuous on a neighborhood of the base of a groupoid

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dc.creatorBuneci, Madalina Roxana
dc.date2005-11-26
dc.date.accessioned2026-07-07T06:51:45Z
dc.date.available2026-07-07T06:51:45Z
dc.descriptionKirill Mackenzie raised the following question: given a groupoid morphism $F$ which is continuous on a neighborhood of base, is it true that $F$ is continuous everywhere? This paper gives a negative answer to that question. Moreover, we prove that for a locally compact groupoid $G$ with non-singleton orbits and having open target projection, if we assume that the continuity of every morphism $F$ on the neighborhood of the base in $G$ implies the continuity of $F$ everywhere, then the groupoid $G$ must be locally transitive.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math/0511639
dc.identifierhttp://arxiv.org/abs/math/0511639
dc.identifierStudia Sci. Math. Hungar. 42(3) (2005), 281-292
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105090
dc.subjectCategory Theory
dc.subjectGeneral Topology
dc.subject22A22; 28C99
dc.titleMorphisms which are continuous on a neighborhood of the base of a groupoid
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