{"title":"从同质到离散同质","authors":"Vitalij A. Chatyrko, Alexandre Karassev","doi":"arxiv-2407.11815","DOIUrl":null,"url":null,"abstract":"This is a survey of recent and classical results concerning various types of\nhomogeneity, such as n-homogeneity, discrete homogeneity, and countable dense\nhomogeneity. Some new results are also presented, and several problems are\nposed.","PeriodicalId":501314,"journal":{"name":"arXiv - MATH - General Topology","volume":"72 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"From homogeneity to discrete homogeneity\",\"authors\":\"Vitalij A. Chatyrko, Alexandre Karassev\",\"doi\":\"arxiv-2407.11815\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This is a survey of recent and classical results concerning various types of\\nhomogeneity, such as n-homogeneity, discrete homogeneity, and countable dense\\nhomogeneity. Some new results are also presented, and several problems are\\nposed.\",\"PeriodicalId\":501314,\"journal\":{\"name\":\"arXiv - MATH - General Topology\",\"volume\":\"72 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-16\",\"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-2407.11815\",\"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-2407.11815","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
This is a survey of recent and classical results concerning various types of
homogeneity, such as n-homogeneity, discrete homogeneity, and countable dense
homogeneity. Some new results are also presented, and several problems are
posed.