Thory And Applications Of Proximity, Nearness And Uniformity

In this section, we propose to give a brief intuitive introduction to topology, proximity, and nearness. It shows that the concept of continuity and its various modifications can be explained even to persons who are not mathematicians. It is not widely known to the public that abstract pure mathematics has applications in daily life. There are many examples in mathematics but here we wish to explain what is Topology and its applications. We use simple examples from day-to-day life to illustrate the concepts. Topology deals with the concept of nearness at various levels. This approach was first formulated by the Hungarian mathematician F. Riesz in an address to the International Congress of Mathematicians in Rome (1908).