Introduction to Topolo9Y Introduction to TOPOLOQY 10. r . 6opKcolJlt'f. H. M. E/nt3111llJ:OIl, JI. A. H3pllHlIeDHOf. T. H . ¢IoMeHkO BBELlEHHE B TOOm an-tlO JiJ.aaTe..'1bC'TBO «B..ICWWIIW1ICoJla» M"""", Introduction to lf~p~~~~y YU. BORISQVICH. N. BUZNYAKOV. VA, IZRAILEVICH. T. FOMENKO Translated rrom the Russian by Olea Efunov MIR PUBLISHERS • MOSCOW Firstpubtl.hed n u ~from the 19ItlIt...,.;.,.edHloa .. o "m~ 8~mKQM)O, 19«1 () EnalW>uana1f,Ooa. "'Ill PIIblWltrs 15lll' , J'lRSTNOTlOmOFTOPOl.OCiY 1.W!laIIl~ " 1.~1Wotioftof,beCOflCqltJof~I*'CIIIld'''''''ion ,". 3.FromI rIlftrictolQPOlosicalwatt " 4.Thenotionof ItiaDaan_fad: 5.SomnbiD&aboutknot, " FlIfIher;.-lin, " GENSRALTOPOLOGY l. TopolotleallpoI<:aandoonl'n\lOUSmappillBl 40 2.TopolQfyIndronlinuolumaPl'illllofmtlrlc~Pilc.n.SpacaR",S"- ,ami D" ... J. Factorspateandquotienttopology S2 4.Cl.wll1cationofJIlrrlCU " ,.OrbitJpaces.ProjecliwoandIetU1J'KU 67 6.Opcnllooloverlei' ,1\I wpolOskalSPlIce 70 7.OpmItioMaver soeu Inmctn.;.~.Sphcre$aIld~U,.Comp!clmcu 7] t. p,opertluofCOIItlD\lOIlSIMppinas 76 9. ProducltoftOPOloai<alJPIl<:n III 10.CO<'IJIeO;1ftIIlliU0(topalop Spacc:II .. II. CountablllYandscpaIation....iolm II 11.~I~andru~""Plf.lbilily 92 I).CoIlll*1lJ*ll'Sand tbcir maJll'iqs 97 14. CompaairotMiDotsoflopokJsi<;:ll ~M~ 1Qj; FwthftreadVI& Ill? HOMOTOPyTHEORY ", I M--..JJ*Il$,HOaKIlopies••etrlcllon,.aaddel_Ions 1. ~CI'O'Y.fllaClOf-'-alteb...aatloDof\<IiIOlcIciWptOblcm,I: '" 1.f\JnaonoflIocnoIollJ'IJOlIJII '.".. 4.ComJll'lq 1M rooncboncnlaJ..lid~op)'1Jf0llplof.....,patti ,'" fllnJrusrcdnJ .. MANIFOLDSAND fiBREBUNDlfS , I. BaskaoUoN ofdiffcnn.tial"""kulus;n..-dirnmWoaalSIMIOl: ,n 2. Smooth wbonanifoldlinE",,1IdeuI~ • 3.SmocxhIlWIifolds 16. C. Smoofhfu:nctionllin.manifoldand IlIIOOlhparthianofunil, 173 ,. MaPl'inasof manifolds ISO 6. Tan&enl bUndle lindl&t\ICnlialmap 183 1. T;onaentV«(Q'ru differentialoperator.D1rr~ll.1orl\.IocllonIndcotaJ\&enl bundle 199 I. VectorrlddlonJIlIOOCtIJIl&Ilifoids 208 9. Fibrebundle...nd--mnp 113 10•.sr-IlfltDClioDonrDallifdd&.sccUularSlnoc:twcof........fold (na>Dllk) 215 II. ""·....'S......l'lllecmieaJpoUilllDd itsmda 140 11. D=:ribi"l'--DPJInx01manifoldbJ_ ofcritlc:al....115 244 Funis" rndina 249 ,HOMOLOGYTHEORY I. PJdlminal)lnotC!l '" 1. HomolotYsrGI'PSofdWncucn~ '" ,. Homolot.Y.pCNploflimplicialeomplaa '" 4. Sift&ulaTlIomoiosJlkcory '" ,. HOlnOIDsYlMorya,xiomI: '" 6. HOIIIOIoIY,"",psof~Devft ofmappina '" 7. HomolouITClI.1J*ofcdlCOInJIk:Hs ,'.", C. Ellkrcharaderlsticand urodld~nllmbn "" w._ Furtherladln. .. .lI.l.".,n..rll.llonli ,.1 -. aca "" SKbjtct Indelt