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Projection (order theory): Difference between revisions

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Revision as of 14:43, 5 August 2009 editPcap (talk | contribs)Pending changes reviewers, Rollbackers18,285 edits concept stub  Revision as of 04:31, 7 August 2009 edit undoMichael Hardy (talk | contribs)Administrators210,289 edits You can't expect the lay reader to know what "order theory" is, especially considering that "order'" is a word that admits a very large number of different senses.Next edit →
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In ] a '''projection operator''' (or simply '''projection''') is a self-map on a ] that is ] and ] under ]. Projections play an important role in ]. In the area of mathematics known as ], a '''projection operator''' (or simply '''projection''') is a self-map on a ] that is ] and ] under ]. Projections play an important role in ].


== References == == References ==

Revision as of 04:31, 7 August 2009

In the area of mathematics known as order theory, a projection operator (or simply projection) is a self-map on a partially ordered set that is monotone and idempotent under function composition. Projections play an important role in domain theory.

References

  • G. Gierz, K. H. Hofmann, K. Keimel, J. D. Lawson, M. Mislove, D. S. Scott: Continuous Lattices and Domains, Cambridge University Press, 2003, p. 11
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