Neighbourhood operators: additivity, idempotency and convergence

Thumbnail Image

Files

Razafindrakoto_neighbourhood_operators_2019.pdf (352.11 KB)

Date

2019

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

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

URI

http://hdl.handle.net/10566/8242

Collections

Research Articles (Mathematics)