This work introduces lie superheaps, showing their equivalence to lie supergroups and the application of groupification concepts.
We introduce the notion of a Lie superheaps as a generalisation of Lie supergroups. We show that the well-known ‘groupification’ and ‘heapification’ functors generalise to the ambience of supergeometry. In particular, we show that there is an isomorphism between the categories of pointed Lie superheaps and Lie supergroups. To do this, we make extensive use of the functor of points.
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Andrew James Bruce (2025) studied this question.
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