nLab strong natural transformation

Idea

The notion of (tensorially) strong natural transformation is the compatible notion of natural transformation on (tensorially) strong functors.

Properties

Relation to enriched natural transformations

For closed monoidal categories $V$ there is a close relation between $V$-strong natural transformations and $V$-enriched natural transformations.

For the moment see at enriched monad – relation to strong monads for more

Selected writings

• Kruna S. Ratkovic, Def. 3.1.4 in: Tensorial Strength, Section 3 of: Morita theory in enriched context (2012) [arXiv:1302.2774, hal:tel-00785301]