Introduction

More data has been created in the last two years than in the entire history of human race and the amount of data keeps growing at the unprecedented rate. The computational power is getting more available and more powerful which allows us to get data very fast. This data is often very noisy, with missing information and high dimensional, which reduces the ability to visualize it. Usually, very few parts of the data provided are useable. To determine which part of data is relevant for us is not an easy task. It is important first to gain a general understanding of data we are dealing with and then to develop quantitative methods to analyze it. This is where topology, a branch of mathematics can be very useful.

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