类度量空间中序列的 I- 收敛性

arXiv - MATH - General Topology Pub Date : 2024-08-10 DOI:arxiv-2408.13264

Prasanta Malik, Saikat Das

{"title":"类度量空间中序列的 I- 收敛性","authors":"Prasanta Malik, Saikat Das","doi":"arxiv-2408.13264","DOIUrl":null,"url":null,"abstract":"In this paper we introduce and study the notion of I-convergence of sequences\nin a metric-like space, where I is an ideal of subsets of the set N of all\nnatural numbers. Further introducing the notion of I*-convergence of sequences\nin a metric-like space we study its relationship with I-convergence.","PeriodicalId":501314,"journal":{"name":"arXiv - MATH - General Topology","volume":"21 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"I-convergence of sequences in metric-like spaces\",\"authors\":\"Prasanta Malik, Saikat Das\",\"doi\":\"arxiv-2408.13264\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we introduce and study the notion of I-convergence of sequences\\nin a metric-like space, where I is an ideal of subsets of the set N of all\\nnatural numbers. Further introducing the notion of I*-convergence of sequences\\nin a metric-like space we study its relationship with I-convergence.\",\"PeriodicalId\":501314,\"journal\":{\"name\":\"arXiv - MATH - General Topology\",\"volume\":\"21 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-10\",\"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-2408.13264\",\"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-2408.13264","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

本文介绍并研究了类公空间中序列的 I- 收敛概念，其中 I 是所有自然数集合 N 的理想子集。我们进一步引入了类公空间中序列的 I* 收敛概念，并研究了它与 I 收敛的关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

I-convergence of sequences in metric-like spaces

In this paper we introduce and study the notion of I-convergence of sequences in a metric-like space, where I is an ideal of subsets of the set N of all natural numbers. Further introducing the notion of I*-convergence of sequences in a metric-like space we study its relationship with I-convergence.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

arXiv - MATH - General Topology

自引率

0.00%

发文量

期刊最新文献

Residual functions and divisorial ideals On Divisor Topology of Commutative Rings On Golomb Topology of Modules over Commutative Rings Two Selection Theorems for Extremally Disconnected Spaces Lipschitz vector spaces