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## Main Question or Discussion Point

Hello,

The concept of contravariance, covariance and invariance are commonly used in the domain of Tensor Calculus. However I have heard that such concepts are more abstractly defined (perhaps) in cathegory theory.

Could someone explain shortly the connection between the abstract definitions of contravariance/covariance and the definitions used in tensor calculus?

The concept of contravariance, covariance and invariance are commonly used in the domain of Tensor Calculus. However I have heard that such concepts are more abstractly defined (perhaps) in cathegory theory.

Could someone explain shortly the connection between the abstract definitions of contravariance/covariance and the definitions used in tensor calculus?