General Topology

Book Details

• Author: Waclaw Sierpinski

• Brand: Dover

• Edition: Reprint

• Binding: Paperback

• Number of Pages: 290

• Release Date: 15-04-2020

• ISBN: 9780486842547

• Package Dimensions: 9.1 x 6.1 x 0.8 inches

• Languages: English

About the Book

Waclaw Sierpinski’s "General Topology" is an elegant and insightful work that has stood the test of time, serving both as a textbook for beginning students and as a source of pleasure and information for mature mathematicians. This reprint edition continues the legacy of Sierpinski’s clear, refined, and methodical approach to the study of topology.

In this critically acclaimed text, Sierpinski delves deep into the theory of Fréchet (V) spaces, offering a comprehensive examination of their relevance within the broader framework of topological spaces. The work also addresses the key concepts of metric and complete spaces, making it an essential read for anyone serious about mathematical topology.

The author’s axiomatic treatment of the theory of point sets is particularly notable. It introduces a logical simplicity that is rare, providing a solid foundation for the exercise of abstract thinking and logical reasoning. Students and researchers alike will benefit from the practice of deriving theorems purely from stated suppositions, relying entirely on formal logic rather than intuition.

Each chapter is supplemented with numerous worked and unworked examples, allowing readers to test their understanding and gain further insights into the application of topological principles.

Key Features:

• Detailed theory of Fréchet (V) spaces and their connection to topological spaces

• In-depth discussions on metric and complete spaces

• Clear, logical axiomatic approach to point set theory

• Suitable for both beginning students and mature mathematicians

• Abundant examples that encourage abstract thinking and logical deduction

• Thoughtfully crafted to assist in mathematical rigor and proof-based learning

This book remains one of the best introductions to the field of topology and an invaluable resource for anyone interested in abstract mathematics.