3 papers
math.CT2026
Cells, convexity and contractibility in general categories
Suddhasattwa Das
The two pillars of Algebraic topology - homology and homotopy theory rely on the availability of basic building blocks called cells. Cells take the form of simplexes, and have prop…
math.CT2025
Homology and homotopy for arbitrary categories
Suddhasattwa Das
One of the prime motivation for topology was Homotopy theory, which captures the general idea of a continuous transformation between two entities, which may be spaces or maps. In l…
math.CT2025
Functors induced by comma categories
Suddhasattwa Das
Category theory provides a collective description of many arrangements in mathematics, such as topological spaces, Banach spaces and game theory. Within this collective description…