Matroids, positroids and paths

Matroids arise from the abstract notion of dependency. Matroids can be studied from different points of view. From linear algebra we know matrices, which can be seen as matroids, however matroids generalise the concept of dependency. In matroids there also is combinatorics, graph theory and geometry. This project wants to be an introduction to matroids throughout two its families: positroids and lattice path matroids. Starting with basic definitions and examples the project reaches deeper and more interesting relations between these two families