In mathematics, specifically algebraic topology, an Eilenberg–MacLane space is a topological space with a single nontrivial homotopy group. Let G be a...

Eilenberg (1848–1927), German composer Eilenberg–MacLane space Eilenberg–Moore algebra Eilenberg–Steenrod axioms Eilenberg machine Eilenburg Eulenberg (disambiguation)...

algebraic topology, there is a distinguished class of spectra called Eilenberg–Maclane spectra H A {\displaystyle HA} for any Abelian group A {\displaystyle...

}} , which is contractible. The infinite projective space is therefore the Eilenberg–MacLane space K(Z2, 1). For each nonnegative integer q, the modulo...

Samuel Eilenberg (September 30, 1913 – January 30, 1998) was a Polish-American mathematician who co-founded category theory (with Saunders Mac Lane) and...

groups of X are trivial, that is, BG is an Eilenberg–MacLane space, or a K(G, 1). An example of a classifying space for the infinite cyclic group G is the...

Samuel Eilenberg. Mac Lane was born in Norwich, Connecticut, near where his family lived in Taftville. He was christened "Leslie Saunders MacLane", but...

Such a space is called an Eilenberg–MacLane space. This space has the remarkable property that it is a classifying space for cohomology: there is a natural...

and natural number i, there is a CW complex K(A,i ) called an Eilenberg–MacLane space and a cohomology class u in H i(K(A,i ),A) such that the resulting...

group G has cohomological dimension 2, then it has a 2-dimensional Eilenberg–MacLane space K ( G , 1 ) {\displaystyle K(G,1)} . For n different from 2, a...