{"title":"Sections","authors":"Michael C. Abrams","doi":"10.4324/9781003026037-2-3","DOIUrl":null,"url":null,"abstract":". The space of smooth sections of a bundle over a compact smooth manifold K can be equipped with a manifold structure, called an A -manifold, where A represents the Fr´echet algebra of real valued smooth functions on K . We prove that the A -manifold structure characterizes the spaces of sections of bundles over K and its open subspaces. We also describe the A ( r ) -maps between A -manifolds.","PeriodicalId":155521,"journal":{"name":"The Art of City Sketching","volume":"37 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The Art of City Sketching","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4324/9781003026037-2-3","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
. The space of smooth sections of a bundle over a compact smooth manifold K can be equipped with a manifold structure, called an A -manifold, where A represents the Fr´echet algebra of real valued smooth functions on K . We prove that the A -manifold structure characterizes the spaces of sections of bundles over K and its open subspaces. We also describe the A ( r ) -maps between A -manifolds.
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