Lectures related to Invariant Definitions

Explores constructing desired adjoints in specific categories like Set.

Explores G-objects in a concrete category and the framework for group actions.

Covers the basics of group theory, including sets, applications, and examples like permutations and rotations.

Explores building categories from graphs and the encoding of information by functors.

Introduces the basics of group theory, defining groups, categories, and groupoids.

Explores mapping functions, surjections, injective and surjective functions, and bijective functions.

Explores the existence of p-Sylow subgroups in finite groups and the abelian group center.

Explores divisibility and torsion in group theory, focusing on defining a functor that preserves divisibility.