Steenrod algebra

The Steenrod algebra is a mathematical framework used in algebraic topology to study how shapes and spaces can be transformed under continuous operations. It consists of a set of rules, called operations, that act on cohomology classes—tools mathematicians use to identify and distinguish different types of spaces. These operations obey specific algebraic relations, helping to understand the structure of spaces at a deep level. Essentially, the Steenrod algebra provides systematic ways to analyze and classify complex geometric objects through algebraic methods, revealing insights into their fundamental properties.