資源描述：
《open problems in topology-jan van hill, george reed》由會(huì)員上傳分享，免費(fèi)在線閱讀，更多相關(guān)內(nèi)容在學(xué)術(shù)論文-天天文庫(kù)。
1、OPENPROBLEMSINTOPOLOGYEditedbyJanvanMillFreeUniversityAmsterdam,TheNetherlandsGeorgeM.ReedSt.EdmundHallOxfordUniversityOxford,UnitedKingdom1990NORTH-HOLLANDAMSTERDAM?NEWYORK?OXFORD?TOKYOIntroductionThisvolumegrewfromadiscussionbytheeditorsonthedi?cultyof?ndinggoodthesisproblemsf
2、orgraduatestudentsintopology.Althoughatanygiventimeweeachhadourownfavoriteproblems,weacknowledgedtheneedtoo?erstudentsawiderselectionfromwhichtochooseatopicpeculiartotheirinterests.Oneofusremarked,“Wouldn’titbenicetohaveabookofcurrentunsolvedproblemsalwaysavailabletopulldownfrom
3、theshelf?”Theotherreplied,“Whydon’twesimplyproducesuchabook?”Twoyearslaterandnotsosimply,hereistheresultingvolume.Theintentistoprovidenotonlyasourcebookforthesis-levelproblemsbutalsoachal-lengetothebestresearchersinthe?eld.Ofcourse,thepresentedproblemsstillre?ecttosomeextentouro
4、wnprejudices.However,aseditorswehavetriedtorepresentasbroadaperspectiveoftopologicalresearchaspossible.Thetopicsrangeoveralgebraictopology,analyticsettheory,continuatheory,digitaltopology,dimensiontheory,domaintheory,functionspaces,gener-alizedmetricspaces,geometrictopology,homo
5、geneity,in?nite-dimensionaltopology,knottheory,orderedspaces,set-theoretictopology,topologicaldy-namics,andtopologicalgroups.Applicationareasincludecomputerscience,di?erentialsystems,functionalanalysis,andsettheory.Theauthorsareamongtheworldleadersintheirrespectiveresearchareas.
6、Akeycomponentinourspeci?cationforthevolumewastoprovidecurrentproblems.Problemsbecomequicklyoutdated,andanylistsoonlosesitsvalueifthestatusoftheindividualproblemsisuncertain.WehaveaddressedthisissuebyarrangingarunningupdateonsuchstatusineachvolumeofthejournalTOPOLOGYANDITSAPPLICA
7、TIONS.Thiswillbeusefulonlyifthereadertakesthetroubleofinformingoneoftheeditorsaboutsolutionsofproblemsposedinthisbook.Ofcourse,itwillalsobesu?cienttoinformtheauthor(s)ofthepaperinwhichthesolvedproblemisstated.Weplanacompleterevisiontothevolumewiththeadditionofnewtopicsandauthors
8、within?veyears.Tokeepbookkeepingsimple,eachprob
