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1、ReprintsinTheoryandApplicationsofCategories,No.3,2003.ABELIANCATEGORIESPETERJ.FREYDForewordTheearly60swasagreattimeinAmericaforayoungmath-ematician.WashingtonhadrespondedtoSputnikwithalotofmoneyforscienceeducationandthescientists,blessthem,saidthatthey
2、couldnotdoanythinguntilstudentsknewmath-ematics.WhatSputnikproved,incrediblyenough,wasthatthecountryneededmoremathematicians.Publishersgotthemessage.AtannualAMSmeetingsyoucouldspendentireeveningscrawlingpublishers’cocktailparties.Theyweren’tlookingforb
3、ookbuyers,theywerelookingforwritersandsomehowtheyhadconcludedthatthebestwaytogetmathematicianstowriteelementarytextswastopublishtheiradvancedtexts.WordhadgoneoutthatIwaswritingatextonsomethingcalled“categorytheory”andwhateveritwas,somebignamesseemedtob
4、einterested.Ilostcountofthebookmenwhovisitedmyofficebearinggiftcopiesoftheiradvancedtexts.IchoseHarper&RowbecausetheypromisedOriginallypublishedas:AbelianCategories,HarperandRow,1964.Receivedbytheeditors2003-11-10.TransmittedbyM.Barr.Reprintpublishedon20
5、03-12-17.FootnotedreferencesaddedtotheForewordandposted2004-01-20.2000MathematicsSubjectClassification:18-01,18B15.Keywordsandphrases:Abeliancategories,exactembedding.cPeterJ.Freyd,1964.Permissiontocopyforprivateusegranted.−25PETERJ.FREYDalowprice(≤$8)a
6、nd—evenbetter—hundredsoffreecopiestomathematiciansofmychoice.(Thiswastobetheirfirstmathpublication.)OnthedayIarrivedatHarper’swiththefinishedmanuscriptIwasintroduced,asamatterofcourtesy,totheChiefofPro-ductionwhoaskedme,asamatterofcourtesy,ifIhadanyprefe
7、renceswhenitcametofontsandIanswered,asamatterofcourtesy,withtheonenameIknew,NewTimesRoman.Itwasnotawell-knownfontintheearly60s;inthosedaysonechosebetweenPicaandElitewhenbuyingatypewriter—notfontsbutsizes.TheChiefofProduction,nolongeractingjustoncourtes
8、y,toldmethatnoonewouldchooseitforsomethinglikemathematics:NewTimesRomanwasbelievedtobemaximallydenseforagivenleveloflegibility.Mathematicsrequiredamorespaciousfont.Allthatwasnewstome;Ihadlearneditsnameonlybecauseitstruckmeasmaximallyele
