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Point Set Topology: An Experience of a Teacher
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.
Mathematical Reviews
None
Combined Membership List
Lists for 19 include the Mathematical Association of America, and 1955- also the Society for Industrial and Applied Mathematics.
Combined Membership List of the American Mathematical Society, Mathematical Association of America, and the Society for Industrial and Applied Mathematics
Lists for 19 include the Mathematical Association of America, and 1955- also the Society for Industrial and Applied Mathematics.
Kenya Newsletter
None
Combined Membership List (American Mathematical Society)
Lists for 19 include the Mathematical Association of America, and 1955- also the Society for Industrial and Applied Mathematics.
