Notebook Archive
Fibered Category Morphism
Eric W. Weisstein
Author
Eric W. Weisstein
Title
Fibered Category Morphism
Description
Let F and G be fibered categories over a topological space X. A morphism phi:F->G of fibered categories consists of: 1. a functor phi(U):F->G(U) for each open subset U subset= X and 2. a natural isomorphism alpha_i:phi_Vi^*->i^*phi_U for each inclusion i:V↪U. It is required that these structures satisfy a compatibility condition with respect to the tau's, namely, that for the inclusions j:W↪V, i:V↪U, the above diagram should commute.
Category
Educational Materials
Keywords
URL
http://www.notebookarchive.org/2019-07-0z94chu/
DOI
https://notebookarchive.org/2019-07-0z94chu
Date Added
Date Last Modified
2019-07-02
File Size
78.67 kilobytes
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Rights
Redistribution rights reserved
Cite this as: Eric W. Weisstein, "Fibered Category Morphism" from the Notebook Archive (2014), https://notebookarchive.org/2019-07-0z94chu
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