Razafindrakoto, Ando2022-12-052022-12-052019Razafindrakoto, A. Neighbourhood Operators: Additivity, Idempotency and Convergence. Appl Categor Struct 27, 703–721 (2019). https://doi.org/10.1007/s10485-019-09581-x0927-2852http://hdl.handle.net/10566/8242We define and discuss the notions of additivity and idempotency for neighbourhood and interior operators. We then propose an order-theoretic description of the notion of convergence that was introduced by D. Holgate and J. Šlapal with the help of these two properties.en-USNeighbourhood operatorsInterior operatorsIdempotencyAdditivityKleisli compositionArticle