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math.CT2005
Differential calculus in categories. I
Vladimir Molotkov
Here are considered some categorical aspects of "Differential calculus" archetype of local approximation of arbitrary morphisms by "linear" ones.
math.CT1999
Glutoses: a Generalization of Topos Theory
Vladimir Molotkov
A generalization of topos theory is proposed giving an abstract realization of such categories as, say, the categories of manifolds and of Grothendieck schemes on the one hand, and…