3 papers
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.RA2005
Adjunction in Monoids
Vladimir Molotkov
This paper answeres the question posed by E.Manes in his book "Algebraic theories": given monoids M and N considered as categories with a single object, and a morphism f: M --> N o…
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…