Editing Galois connection (section)

== References ==
''The following books and survey articles include Galois connections using the monotone definition:''
* Brian A. Davey and [[Hilary Priestley|Hilary A. Priestley]]: ''[[Introduction to Lattices and Order]]'', Cambridge University Press, 2002.
* {{cite book|first1=Gerhard |last1=Gierz |first2= Karl H.|last2= Hofmann|first3= Klaus|last3= Keimel|first4= Jimmie D.|last4= Lawson |first5= Michael W.|last5= Mislove|first6=Dana S. |last6=Scott|author-link6= Dana S. Scott |title= Continuous Lattices and Domains |publisher= Cambridge University Press |year= 2003}}
* Marcel Erné, Jürgen Koslowski, Austin Melton, George E. Strecker, ''A primer on Galois connections'', in: Proceedings of the 1991 Summer Conference on General Topology and Applications in Honor of Mary Ellen Rudin and Her Work, Annals of the New York Academy of Sciences, Vol. 704, 1993, pp.&nbsp;103–125. (Freely available online in various file formats [https://web.archive.org/web/20060108063506/http://www.iti.cs.tu-bs.de/TI-INFO/koslowj/RESEARCH/gal_bw.ps.gz PS.GZ] [http://www.math.ksu.edu/~strecker/primer.ps PS], it presents many examples and results, as well as  notes on the different notations and definitions that arose in this area.)

''Some publications using the original (antitone) definition:''
* {{cite book |first=Saunders |last=Mac Lane |author-link=Saunders Mac Lane|title=[[Categories for the Working Mathematician]] | edition=Second |date=September 1998 |publisher=Springer |isbn=0-387-98403-8}}
* Thomas Scott Blyth, ''Lattices and Ordered Algebraic Structures'', Springer, 2005, {{isbn|1-85233-905-5}}.
* {{cite book|first1=Nikolaos |last1=Galatos |first2=Peter |last2=Jipsen |first3=Tomasz |last3=Kowalski |first4=Hiroakira |last4=Ono |year=2007 |title=Residuated Lattices. An Algebraic Glimpse at Substructural Logics |publisher= Elsevier|isbn=978-0-444-52141-5}}
* {{cite book|first1=Garrett |last1=Birkhoff |author-link=Garrett Birkhoff |title= Lattice Theory |publisher=Amer. Math. Soc. Coll. Pub. |volume=25|year=1940}}
* {{citation|first=Øystein|last= Ore|author-link=Øystein Ore|title= Galois Connexions|journal=[[Transactions of the American Mathematical Society]]| volume=55 |issue= 3|year=1944|pages=493–513|doi=10.2307/1990305|jstor= 1990305}}

{{DEFAULTSORT:Galois Connection}}
[[Category:Galois theory]]
[[Category:Order theory]]
[[Category:Abstract interpretation]]
[[Category:Closure operators]]