• Corpus ID: 14512629

ON PROPERTY-LIKE STRUCTURES

@article{Kelly1997ONPS,
  title={ON PROPERTY-LIKE STRUCTURES},
  author={G. M. Kelly and Stephen Lack},
  journal={Theory and Applications of Categories},
  year={1997},
  volume={3},
  pages={213-250}
}
A category may bear many monoidal structures, but (to within a unique isomorphism) only one structure of "category with finite products". To capture such distinctions, we consider on a 2-category those 2-monads for which algebra structure is essentially unique if it exists, giving a precise mathematical definition of "essentially unique" and investigating its consequences. We call such 2-monads property-like. We further consider the more restricted class of fully property-like 2-monads… 
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