| 期刊全稱 | Basic Topology 1 | | 期刊簡稱 | Metric Spaces and Ge | | 影響因子2023 | Avishek Adhikari,Mahima Ranjan Adhikari | | 視頻video | http://file.papertrans.cn/182/181183/181183.mp4 | | 發(fā)行地址 | Discusses major topics in topology and its applications in modern analysis, geometry, algebra, and number theory.Presents motivating examples, numerous illustrations, and applications.Promotes active | | 圖書封面 |  | | 影響因子 | .This first of the three-volume book is targeted as a basic course in topology for undergraduate and graduate students of mathematics. It studies metric spaces and general topology. It starts with the concept of the metric which is an abstraction of distance in the Euclidean space. The special structure of a metric space induces a topology that leads to many applications of topology in modern analysis and modern algebra, as shown in this volume. This volume also studies topological properties such as compactness and connectedness. Considering the importance of compactness in mathematics, this study covers the Stone–Cech compactification and Alexandroff one-point compactification. This volume also includes the Urysohn lemma, Urysohn metrization theorem, Tietz extension theorem, and Gelfand–Kolmogoroff theorem...The content of this volume is spread into eight chapters of which the last chapter conveys the history of metric spaces and the history of the emergence of the conceptsleading to the development of topology as a subject with their motivations with an emphasis on general topology. It includes more material than is comfortably covered by beginner students in a one-semester cour | | Pindex | Textbook 2022 |
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