Category theory, K theory and homological algebra are interrelated branches of mathematics that comprise a powerful conceptual framework for studying structures and their interconnections. Category ...

The equal sign is the bedrock of mathematics. It seems to make an entirely fundamental and uncontroversial statement: These things are exactly the same. But there is ...

The human ecosystem is made of open and closed systems. While the earth is a closed system for matter but an open system for energy, the human body is considered an open system. There is a growing ...

Emily Riehl's area of study, category theory, is said to be "taking the mathematical field by storm," in the words of her colleagues. But it's not the popularity of the approach that attracted her to ...