Point-Set Topology with Topics: Basic General Topology for Graduate Studies – Ebook Instant Download/Delivery ISBN(s): 9789811277337,9811277338,9789811277351, 9811277354

Product details:

• ISBN-10: 9811277354
• ISBN-13: 9789811277351
• Author: Robert André

This textbook can be used as introduction to a general topology course at undergraduate and graduate level courses. However, many parts of this book present topological concepts that apply directly to functional analysis, which will be of interest to scholars working in those fields.

In Part I, readers are eased into the main subject matter of general topology, being presented with summaries of normed vector spaces and metric spaces. Parts II to VI form the core material contained in most Basic General Topology courses. After having worked through the most fundamental concepts of topology, the reader will be exposed to brief introductions to more specialized or advanced topics of pointset topology. These are presented in Part VII in the form of a sequence of chapters, many of which can be read or studied independently or in short sequences of two or three chapters, provided that the student has mastered the previous sections.

Table contents:

Part I Norms and Metrics

Part II Topological Spaces: Fundamental Concepts

Part III Topological Spaces: Separation Axioms

Part IV Limit Points in Topological Spaces

Part V Compact Spaces and Relatives

Part VI The Connected Property

Part VII Topics

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