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math.GM2026
Internal Symmetry Group in Categorial Topology
Zoran Majkic
The interdefinability of the universal concepts of category theory has been introduced by Lawvere. The perfect interdefinability between the objects and arrows of some category, de…
math.GM2024
Category Theory: Symmetry Group of Comma-propagation Transformations
Zoran Majkic
In general, all constructions of algebraic topology are functorial; the notions of category, functor and natural transformation originated here. The arrow categories are more simpl…
math.GM2024
General Categorial Geometry and Algebraic Topology
Zoran Majkic
In Categorial Topology, given a category (as a "geometric object") we can consider its properties preserved under continuous action (a "deformation") of a comma-propagation operati…