1. In category theory, there are covariant functors and contravariant functors. 2. In particular, ( covariant ) representable functors preserve all limits. 3. See also gauge covariant derivative for a treatment oriented to physics. 4. Another of Deser's research interests is covariant quantum gravity. 5. The covariant derivative can in turn be recovered from parallel transport. 6. The synchronous coordinate condition is neither generally covariant nor Lorentz covariant. 7. The synchronous coordinate condition is neither generally covariant nor Lorentz covariant . 8. The contravariant and covariant components of these vectors may be related by 9. General covariant transformations constitute a subgroup of holonomic automorphisms of FX. 10. Similar remarks apply to the colimit functor ( which is covariant ).
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