Finding the limit points and derived set using python

Python Programming is emerging as a great computational tool in the field of mathematics. In this paper, we particularly discuss the application of the python programming language to generate the limit points and the derived set for each subset of a given set in a topological space. For this, we make use of the different compound data types available in python including the dictionary, list and also the set operations. This variety of data types and numerous math functions in python allows the user to compute coding to solve extensive problems within a short span of time. It also provides the platform to explicitly convert one data type to another making it more convenient to code. One must be well versed with the concept of neighborhood in analysis as knowing the neighborhood of each point of a subset is essential to find the limit point of a subset and those limit points when collected, leave us with the derived set. Thus, we would also be eventually focusing on gathering the neighborhood of each point of a subset and then finding the limit points for each subset, which will lead us to the final step of computing the derived set.