Every primitive skew lattice S factors as the fibred product of its maximal left and right-handed primitive images S / R \ times _ 2 S / L.
12.
This introduction of some " slack " in the system of inverse images causes some delicate issues to appear, and it is this set-up that fibred categories formalise.
13.
His attitude did not please his stepmother, who, according to Lewis Mackenzie, was a " tough-fibred'managing'woman of hard-working peasant stock ."
14.
Havre collaborated on the 2009 exhibition " Fibred Optics " at the Ottawa Art Gallery with artists Frances Dorsey, Ed Pien, and Michle Provost, and curator Andrea Fatona.
15.
In other words, an " E "-category is a fibred category if inverse images always exist ( for morphisms whose codomains are in the range of projection ) and are " transitive ".
16.
Descent theory is concerned with generalisations of situations where geometrical objects ( such as vector bundles on topological spaces ) can be " glued together " when they are fibred categories form the right framework to discuss the possibility of such gluing.
17.
Within the femur of " Thrinaxodon ", there is no major region of the bone that is made of parallel-fibred tissues, however, there is a small ring of parallel-fibred bone within the mid-cortex.
18.
Within the femur of " Thrinaxodon ", there is no major region of the bone that is made of parallel-fibred tissues, however, there is a small ring of parallel-fibred bone within the mid-cortex.
19.
The language of algebraic stacks essentially provides a systematic way to view the fibred category that constitutes the moduli problem as a " space ", and the moduli stack of many moduli problems is better-behaved ( such as smooth ) than the corresponding coarse moduli space.
20.
Thus a stack is formally given as a fibred category over another " base " category, where the base has a Grothendieck topology and where the fibred category satisfies a few axioms that ensure existence and uniqueness of certain gluings with respect to the Grothendieck topology.
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