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