Topological Space
In my previous blog "TOPOLOGY - KING OF MATHEMATICS" , talked about geometric shapes and saw how "Distance" is the basic tool for the study of "Metric Space" and also saw how removing the notion of distance lead us to the more general study of spaces called "Topological Spaces". The goal of today's blog is to understand the Topological Space more formally and challenge our normal understanding to an another level. As in metric space main key-tool is distance, here it is neighbourhood. First, we can start with what we mean by neighbourhood, its simply mean surrounding. If you choose a point and a r >0 radius circle around that point then that also a neighbourhood mathematically denoted as B(x,r) where x is point and r is my radius, this neighbourhood called r-neighbourhood. We can see one thing that if we choose r-neighbourhood the study came to study same as metric space. So, we can say that every metric spac