Operators on complete lattices

Heijmans, Henk J.A.M.

doi:10.1016/bs.aiep.2020.07.003

The operators that will be used frequently in later chapters are defined and their properties set out very clearly. In particular, erosion and dilation, opening and closing are introduced. The notion of the centre of a lattice is explained.

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Keywords	Adjunctions, Conditional dilation, Conditional erosion, Increasing and decreasing operators, Lattice operators, Opening and closing, Ordering, Tarski fixpoint theorem
Persistent URL	doi.org/10.1016/bs.aiep.2020.07.003
Organisation	Centrum Wiskunde & Informatica, Amsterdam (CWI), The Netherlands
Citation APA Style AAA Style APA Style Cell Style Chicago Style Harvard Style IEEE Style MLA Style Nature Style Vancouver Style American-Institute-of-Physics Style Council-of-Science-Editors Style BibTex Format Endnote Format RIS Format CSL Format DOIs only Format	Heijmans, H. (2020). Operators on complete lattices. In Advances in Imaging and Electron Physics (pp. 45–70). doi:10.1016/bs.aiep.2020.07.003

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