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