Mathematical Topology is a branch that comes under Algebra. It is a study of the geometric structures that preserved from continuous deformation. In other words, it is a study of the things that changes their shape & sizes continuously. But irrespective of their changing dimensions.
There are certain things that undergoes continuous change in shape and sizes. For instance, we consider here ‘Mobius Strip’ which changes its shape & size. General geometric rules do not satisfy the requirements of these structures. In order to overcome this, Mathematical Topology is essential.
There are certain concepts such as – Open & Close Sets, Countability Axioms, etc. which helps to understand the topic with ease.