👉 Ixias is a concept in mathematics, specifically in the field of algebraic topology. It is used to describe the properties that hold for all manifolds of constant rank and dimension. In mathematics, an "ixial" space is a space X with a natural number n such that every smooth map f: XY between two spaces of the same dimension has a continuous extension to a homeomorphism from X onto Y. This concept was introduced by M. I. Gromov in 1