Point Set Topology An Experience of a Teacher is popular PDF and ePub book, written by Dinesh J. Karia in 2022-05-16, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Point Set Topology An Experience of a Teacher can be Read Online from any device for your convenience.
Point Set Topology An Experience of a Teacher Book PDF Summary
The book has evolved out of my teaching of Topology at the postgraduate level since 1990. After my retirement in 2018, I left the boundaries of the prescribed syllabus by adding material to the notes. Limit of a function is seldom defined in a course of Topology. I have given a glimpse of definition of limit of function. A function on natural numbers is a sequence and on a directed set is a net. However, depending upon the cardinality of the directed set, we define different types of nets. This could be easily linked with the cardinal functions in a topology. I am planning to incorporate the same in the future editions. The present book includes, A Brief History of Topology, Basic Set Theory, Basic Concepts in Topology like Base, Subbase, Neighbourhoods and Local Base, Subspaces, Closed Sets, Closure, Interior and Limit Points, Continuous Functions. The book also deals with the order topology, Categorial Methods, Metric Spaces, Nets and Filters, Separation and Countability Axioms, Compact Spaces, Connected and Path Connected Spaces and Uniform Spaces.
Detail Book of Point Set Topology An Experience of a Teacher PDF
- Author : Dinesh J. Karia
- Release : 16 May 2022
- Publisher : Dr. Dinesh J. Karia
- ISBN : 978186723xxxx
- Genre : Mathematics
- Total Page : 260 pages
- Language : English
- PDF File Size : 12,9 Mb
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