Topology theory is already more than 100 years old but until late 20th century it was considered purely theoretical part of mathematics. However, recently it has gained attention and gradually becoming a new trend in Data Analysis.
But how this purely mathematical theory applies to the real world data? As the amount of data grows rapidly, we need to find new ways to understand it and analyse it. In some cases, good solution is to see the broader image, go to the higher level of abstraction.
Topology gives us novel approach to understand the data by analysing the shape of the multi-dimensional dataset.