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Topology Without Tears
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  • Title: Topology Without Tears
  • Author(s) Sidney A. Morris
  • Publisher: Internet
  • Hardcover/Paperback: N/A
  • eBook: PDF (727 pages) and Video Lectures
  • Language: English, Arabic, Chinese, Greek, Korean, Persian, Russian, Spanish, Turkish
  • ISBN-10: N/A
  • ISBN-13: N/A
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Book Description

In mathematics, topology is concerned with the properties of a geometric object that are preserved under continuous deformations, such as stretching, twisting, crumpling, and bending; that is, without closing holes, opening holes, tearing, gluing, or passing through itself.

General topology is the branch of topology dealing with the basic set-theoretic definitions and constructions used in topology. It is the foundation of most other branches of topology, including algebraic topology, differential topology, geometric topology, and topological algebra.

Another name for general topology is point-set topology, is the main language for a broad range of mathematical disciplines, while algebraic topology offers as a powerful tool for studying problems in geometry and numerous other areas of mathematics.

The aim of this is to provide a thorough grouding of general topology. It offers an ideal introduction to the fundamentals of topology, and consists of a series of basic to intermediate lessons in topology.

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