Neighbourhood operators: additivity, idempotency and convergence
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Date
2019
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Springerlink
Abstract
We 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.
Description
Keywords
Neighbourhood operators, Interior operators, Idempotency, Additivity, Kleisli composition
Citation
Razafindrakoto, A. Neighbourhood Operators: Additivity, Idempotency and Convergence. Appl Categor Struct 27, 703–721 (2019). https://doi.org/10.1007/s10485-019-09581-x