{"title":"测地线空间中的Leray-Schauder原理","authors":"Sreya Valiya Valappil, Shaini Pulickakunnel","doi":"10.17993/3ctic.2022.112.99-106","DOIUrl":null,"url":null,"abstract":"The essential maps introduced by Granas in 1976 is a best tool for proving continuation results for compact maps. Several authors modified this idea to different scenarios. This is a review article, here, we consider the continuation results based on essential maps and the Leray-Schauder principle in the setting of uniquely geodesic spaces [20].","PeriodicalId":237333,"journal":{"name":"3C TIC: Cuadernos de desarrollo aplicados a las TIC","volume":"11 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"The Leray-Schauder Principle in Geodesic Spaces\",\"authors\":\"Sreya Valiya Valappil, Shaini Pulickakunnel\",\"doi\":\"10.17993/3ctic.2022.112.99-106\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The essential maps introduced by Granas in 1976 is a best tool for proving continuation results for compact maps. Several authors modified this idea to different scenarios. This is a review article, here, we consider the continuation results based on essential maps and the Leray-Schauder principle in the setting of uniquely geodesic spaces [20].\",\"PeriodicalId\":237333,\"journal\":{\"name\":\"3C TIC: Cuadernos de desarrollo aplicados a las TIC\",\"volume\":\"11 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-12-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"3C TIC: Cuadernos de desarrollo aplicados a las TIC\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.17993/3ctic.2022.112.99-106\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"3C TIC: Cuadernos de desarrollo aplicados a las TIC","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.17993/3ctic.2022.112.99-106","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The essential maps introduced by Granas in 1976 is a best tool for proving continuation results for compact maps. Several authors modified this idea to different scenarios. This is a review article, here, we consider the continuation results based on essential maps and the Leray-Schauder principle in the setting of uniquely geodesic spaces [20].
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