What does eilenberg–maclane space mean?
Definitions for eilenberg–maclane space
eilen·berg–·maclane space
This dictionary definitions page includes all the possible meanings, example usage and translations of the word eilenberg–maclane space.
Wikidata
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.
Numerology
Chaldean Numerology
The numerical value of eilenberg–maclane space in Chaldean Numerology is: 1
Pythagorean Numerology
The numerical value of eilenberg–maclane space in Pythagorean Numerology is: 8
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"eilenberg–maclane space." Definitions.net. STANDS4 LLC, 2024. Web. 23 Apr. 2024. <https://www.definitions.net/definition/eilenberg%E2%80%93maclane+space>.
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