{"title":"Vector bundles and principal bundles","authors":"","doi":"10.1142/9789811231254_0006","DOIUrl":"https://doi.org/10.1142/9789811231254_0006","url":null,"abstract":"","PeriodicalId":191279,"journal":{"name":"Lectures on Algebraic Topology","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130249404","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The homotopy theory of CW complexes","authors":"Archana Tiwari","doi":"10.1142/9789811231254_0005","DOIUrl":"https://doi.org/10.1142/9789811231254_0005","url":null,"abstract":"In this review work we have studied on homotopy properties of CW-complexes with an emphasis on finite dimensional CW-complexes. We have first given a brief introduction on basic definitions from the general topology and then have discussed the homotopy theory for general topological spaces. Basic definitions and constructions of homotopy and CW-complexes have been discussed exhaustively. Then certain theorems and definitions on homotopy theory of CW-complexes have been discussed briefly. Finally, we have studied Whitehead Theorem","PeriodicalId":191279,"journal":{"name":"Lectures on Algebraic Topology","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114752193","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Cohomology and duality","authors":"","doi":"10.1142/9789811231254_0003","DOIUrl":"https://doi.org/10.1142/9789811231254_0003","url":null,"abstract":"","PeriodicalId":191279,"journal":{"name":"Lectures on Algebraic Topology","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128423690","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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