{"title":"内映射徘徊集的伪博歇尔成分","authors":"Igor Yu. Vlasenko","doi":"arxiv-2407.19251","DOIUrl":null,"url":null,"abstract":"This article explores the topology of Pseudo-B\\\"ottcher totally invariant\nconnected components of the wandering set in dynamical systems generated by\non-invertible inner (open surjective isolated) mappings of compact surfaces. We\ndescribe the possible topological types of these invariant connected subsets,\nwhich are more diverse then corresponding components of homeomorphisms.","PeriodicalId":501314,"journal":{"name":"arXiv - MATH - General Topology","volume":"47 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Pseudo-Böttcher components of the wandering set of inner mappings\",\"authors\":\"Igor Yu. Vlasenko\",\"doi\":\"arxiv-2407.19251\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This article explores the topology of Pseudo-B\\\\\\\"ottcher totally invariant\\nconnected components of the wandering set in dynamical systems generated by\\non-invertible inner (open surjective isolated) mappings of compact surfaces. We\\ndescribe the possible topological types of these invariant connected subsets,\\nwhich are more diverse then corresponding components of homeomorphisms.\",\"PeriodicalId\":501314,\"journal\":{\"name\":\"arXiv - MATH - General Topology\",\"volume\":\"47 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - General Topology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2407.19251\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - General Topology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.19251","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
本文探讨了由紧凑曲面的不可逆内映射(开放的投射孤立映射)所产生的动力系统中的游走集的完全不变量连接子集(Pseudo-B\"otcher totally invariant connected components of the wandering set)的拓扑学。我们描述了这些不变连通子集的可能拓扑类型,它们比同态的相应分量更多样化。
Pseudo-Böttcher components of the wandering set of inner mappings
This article explores the topology of Pseudo-B\"ottcher totally invariant
connected components of the wandering set in dynamical systems generated by
on-invertible inner (open surjective isolated) mappings of compact surfaces. We
describe the possible topological types of these invariant connected subsets,
which are more diverse then corresponding components of homeomorphisms.