👉 Sporiparity is a concept in algebraic topology, specifically in the study of topological spaces and homology groups. It refers to the property that two non-empty subsets of a space are homotopic (i.e., they can be continuously deformed into each other without leaving the original space), but not necessarily homeomorphic. In more detail, a set X is said to have sporiparity if it is both closed and open in its homology groups. This means that every non