Acronyms that contain the term eilenberg–maclane space 

Eilenberg–MacLane space

In mathematics, an Eilenberg–MacLane space is a special kind of topological space that can be regarded as a building block for homotopy theory. These spaces are important in many contexts in algebraic topology, including constructions of spaces, computations of homotopy groups of spheres, and definition of cohomology operations. The name is for Samuel Eilenberg and Saunders Mac Lane, who introduced such spaces in the late 1940s. Let G be a group and n a positive integer. A connected topological space X is called an Eilenberg–MacLane space of type K, if it has n-th homotopy group πn isomorphic to G and all other homotopy groups trivial. If n > 1 then G must be abelian. Then an Eilenberg–MacLane space exists, as a CW-complex, and is unique up to a weak homotopy equivalence. By abuse of language, any such space is often called just K.

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