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- Eilenberg–MacLane_space abstract "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(G, n), if it has n-th homotopy group πn(X) 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(G, n).".
- Eilenberg–MacLane_space wikiPageID "1073230".
- Eilenberg–MacLane_space wikiPageRevisionID "602824111".
- Eilenberg–MacLane_space first "Yu.B.".
- Eilenberg–MacLane_space id "E/e035200".
- Eilenberg–MacLane_space last "Rudyak".
- Eilenberg–MacLane_space title "Eilenberg−MacLane space".
- Eilenberg–MacLane_space subject Category:Algebraic_topology.
- Eilenberg–MacLane_space subject Category:Homotopy_theory.
- Eilenberg–MacLane_space comment "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.".
- Eilenberg–MacLane_space label "Eilenberg-MacLane-Raum".
- Eilenberg–MacLane_space label "Eilenberg–MacLane space".
- Eilenberg–MacLane_space label "Espace d'Eilenberg-MacLane".
- Eilenberg–MacLane_space sameAs Eilenberg%E2%80%93MacLane_space.
- Eilenberg–MacLane_space sameAs Eilenberg-MacLane-Raum.
- Eilenberg–MacLane_space sameAs Espace_d'Eilenberg-MacLane.
- Eilenberg–MacLane_space sameAs Q5349490.
- Eilenberg–MacLane_space sameAs Q5349490.
- Eilenberg–MacLane_space wasDerivedFrom Eilenberg–MacLane_space?oldid=602824111.