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math.CT2019
Simplicial sets with a notion of smallness
M. Gavrilovich
We consider simplicial sets equipped with a notion of smallness, and observe that this slight "topological" extension of the "algebraic" simplicial language allows a concise reform…
math.GR2019
Formulating basic notions of finite group theory via the lifting property
Misha Gavrilovich
We reformulate several basic notions of notions in finite group theory in terms of iterations of the lifting property (orthogonality) with respect to particular morphisms. Our exam…