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groupoid categories
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(Definition)
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Definition 0.1 Groupoid categories, or categories of groupoids, can be defined simply by considering a groupoid as a category
 with all invertible morphisms, and objects defined by the groupoid class or set of groupoid elements; then, the groupoid category,
 , is defined as the  -category whose objects are
 categories (groupoids), and whose morphisms are functors of
 categories consistent with the definition of groupoid homomorphisms, or in the case of topological groupoids, consistent as well with topological groupoid homeomorphisms. The 2-category of groupoids
 , plays a central role in the generalised, categorical Galois theory involving fundamental groupoid functors.
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"groupoid categories" is owned by bci1.
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See Also: groupoid homomorphism
| Also defines: |
groupoid category, category of groupoids |
| Keywords: |
groupoid category |
Cross-references: fundamental groupoid functors, 2-category, topological groupoids, groupoid homomorphisms, functors, objects, morphisms, category, groupoid
There are 17 references to this object.
This is version 2 of groupoid categories, born on 2009-01-12, modified 2009-01-12.
Object id is 379, canonical name is GroupoidCategories.
Accessed 1176 times total.
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Pending Errata and Addenda
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