{"title":"莫尔斯理论中的稳定代数","authors":"V. Sharko","doi":"10.1070/IM1991V036N03ABEH002037","DOIUrl":null,"url":null,"abstract":"Stable algebra is developed as needed in Morse theory. New estimates are found for the number of critical points of Morse functions, and conditions are found for the existence of minimal Morse functions on non-simply-connected manifolds.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"29 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1991-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"STABLE ALGEBRA IN MORSE THEORY\",\"authors\":\"V. Sharko\",\"doi\":\"10.1070/IM1991V036N03ABEH002037\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Stable algebra is developed as needed in Morse theory. New estimates are found for the number of critical points of Morse functions, and conditions are found for the existence of minimal Morse functions on non-simply-connected manifolds.\",\"PeriodicalId\":159459,\"journal\":{\"name\":\"Mathematics of The Ussr-izvestiya\",\"volume\":\"29 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1991-06-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics of The Ussr-izvestiya\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1070/IM1991V036N03ABEH002037\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics of The Ussr-izvestiya","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/IM1991V036N03ABEH002037","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Stable algebra is developed as needed in Morse theory. New estimates are found for the number of critical points of Morse functions, and conditions are found for the existence of minimal Morse functions on non-simply-connected manifolds.