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- Eilenberg–Ganea_conjecture abstract "The Eilenberg–Ganea conjecture is a claim in algebraic topology. It was formulated by Samuel Eilenberg and Tudor Ganea in 1957, in a short, but influential paper. It states that if a group G has cohomological dimension 2, then it has a 2-dimensional Eilenberg–MacLane space K(G, 1). For n different from 2, a group G of cohomological dimension n has an n-dimensional Eilenberg–MacLane space. It is also known that a group of cohomological dimension 2 has a 3-dimensional Eilenberg−MacLane space.In 1997, Mladen Bestvina and Noel Brady constructed a group G so that either G is a counterexample to the Eilenberg–Ganea conjecture, or there must be a counterexample to the Whitehead conjecture.".
- Eilenberg–Ganea_conjecture wikiPageID "8211999".
- Eilenberg–Ganea_conjecture wikiPageRevisionID "551312972".
- Eilenberg–Ganea_conjecture subject Category:Conjectures.
- Eilenberg–Ganea_conjecture subject Category:Theorems_in_algebraic_topology.
- Eilenberg–Ganea_conjecture comment "The Eilenberg–Ganea conjecture is a claim in algebraic topology. It was formulated by Samuel Eilenberg and Tudor Ganea in 1957, in a short, but influential paper. It states that if a group G has cohomological dimension 2, then it has a 2-dimensional Eilenberg–MacLane space K(G, 1). For n different from 2, a group G of cohomological dimension n has an n-dimensional Eilenberg–MacLane space.".
- Eilenberg–Ganea_conjecture label "Eilenberg–Ganea conjecture".
- Eilenberg–Ganea_conjecture sameAs Eilenberg%E2%80%93Ganea_conjecture.
- Eilenberg–Ganea_conjecture sameAs Q5349489.
- Eilenberg–Ganea_conjecture sameAs Q5349489.
- Eilenberg–Ganea_conjecture wasDerivedFrom Eilenberg–Ganea_conjecture?oldid=551312972.