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Glossary

Affine Oriented Matroid

An affine oriented matroid is a triple $($E, F, g), where $($E, F) is an oriented matroid (with ground set $$E and set of covectors $$F) and $$g an element of $$E, where $$g is not a loop. Then $$g is called the infinity element.

The equivalence classes of affine oriented matroids which are defined by isomorphisms which map infinity elements to infinity elements are called abstract dissection types.